Unreferenced date December 2009 HerInfiniteVariety is a novel by Louis Auchincloss first published ... from William Shakespeare Shakespeare s Antony and Cleopatra Age cannot wither her, nor custom stale Herinfinitevariety Act II, scene 2 . Plot summary Born in New York in 1917, attractive Clarabel Hoyt, the heroine of the book, is encouraged by her ambitious mother to marry a great man, a man able and willing to make a success of his life. She succeeds in persuading her daughter to end her relationship with a young teacher with a promising career ahead of him and marry into one of the pre eminent, old money families instead. Eventually succumbing to her mother s wishes, Clara, still .... Clara, however, is not content spending her husband s money and living a life of luxury and ease. When her old school friend Polly suggests that she should work for Style , a fashion magazine , Clara ... to each other. On her husband s return, however, Clara is faced with the double standards of morality ... of sinner, of the war wife who cheats on her fighting husband or, as Trevor puts it, of the cool bitch . Subsequently, and much to her mother s dismay, Clara divorce s her husband, a generous divorce settlement ensuring that she does not quite have to face the chilling prospect of depending on her own talents to support herself . She becomes editor in chief of Style by exposing her predecessor ... loves him&mdash she is aware of the fact that her rather forced Of course, I love you is actually a lie . At this point in her life she very strongly questions her ability to love at all. Nevertheless ... disguises, her luxurious lifestyle by continuing her late husband s foundation charity foundation and openly and generously supporting philanthropy philanthropic causes so that her public image turns ... objects . Their affair, however, is short lived because he informs her that his life is not the kind ... forces her to pay him off and hush up the scandal in order to save the foundation s reputation ... more details
wiktionary varieties varietyVariety may refer to tocright Mathematics Abelian variety , a complex torus that can be embedded into projective space Abstract variety , an intrinsically defined variety Algebraic variety , the basic object of study in algebraic geometry Algebraic variety Affine variety , a subset of algebraic varieties Algebraic variety Projective variety , a subset of algebraic varieties Quasiprojective variety , a subset of algebraic varieties which includes projective and affine varieties Analytic variety , an object much like an algebraic variety but defined as the zero set of finitely many real or complex analytic functions Variety universal algebra , classes of algebraic structures defined by equations in universal algebra Sciences Variety botany , a formal rank in botanical taxonomic nomenclature Variety cybernetics , the number of possible states of a system or of an element of the system Variety linguistics , a concept that includes, for instance, dialects, standard language and jargon Plant variety law , a legal rather than taxonomic term for a cultivar or hybrid protected by patent law Variety , an informal and incorrect and ambiguous rather than taxonomic term for cultivar in horticulture Arts and entertainment Broadcast media Variety US radio , a format of radio programming Variety show , a form of theatrical and television entertainment Film Variet , a 1925 silent film Variety Girl , a 1947 all star movie musical produced by Paramount Pictures Variety ... tabloid size magazine Variety from 1907 to 1996 Variety 1983 film , a 1983 film Hobbies Variety, a term in coin collecting see Glossary of numismatics VarietyVariety philately , a term in stamp collecting Music Variety Les Rita Mitsouko album Variety Les Rita Mitsouko album , the seventh studio album by Les Rita Mitsouko Variety Tokyo Incidents album Variety Tokyo Incidents album , Japanese band Tokyo Jihen s third studio album Variety Playhouse , music venue in the Little Five Points neighborhood ... more details
Infobox Single Name Infinite... Cover Artist Beni Arashiro from Album Beni Released October 20, 2004 Format CD Recorded Genre Pop music Pop Length Label Avex Trax Producer Junpei Takada, CMJK, Hirofumi Asamoto, S.Hoffs, B. Steinberg, T. Kelly Last single Harmony Beni Arashiro Harmony br 2004 This single Infinite... br 2004 Next single Here Alone br 2004 Infinite... is Beni Arashiro s second single, which served as the outro theme for TBS s Count Down TV in October 2004. ref ja icon cite web url http www.amazon.co.jp dp B0002L4DPU title Amazon.co.jp Infinite... single Maxi publisher Amazon date 2009 06 27 accessdate 2009 06 27 ref Track listing Infinite... Flower on the earth Eternal flame Infinite... Instrumental Flower on the earth Instrumental Charts Oricon Sales Chart Japan class wikitable width 500px align left Release align left Chart align left Peak Position align left First Week Sales align left Sales Total align left Chart Run align left 20 October 2004 align left Oricon Weekly Singles Chart align left 24 align left 7,201 align left align left 4 weeks References Reflist Category Beni singer songs Category 2004 singles 2000s Japan single stub ja Infinite... more details
wiktionary herherHer is the objective form of the pronoun she in Modern English. It may also refer to Her, an archaic name for the city and region of Khoy in Armenia Her, an abbreviation of Hercules constellation Her, an alias of the superhero character Kismet Marvel Comics Her or Hers, a name on old Georgian records for the rs people who lived in northern modern Armenia and around HER may refer to HER, the Amtrak station code for Helper Amtrak station , Utah, United States HER, the IATA airport code for Heraklion International Airport, Nikos Kazantzakis , Crete, Greece HER, the ISO 639 3 code for the Herero language HER2 neu , a protein HER , the Harvard Educational Review the Housing and Economic Recovery Act of 2008 , designed primarily to address the subprime mortgage crisis, was passed by the United States Congress on July 24, 2008 and signed by President George W HER, a name temporarily used by the Finnish band, HIM Finnish band HIM , in the United States HER, abbreviation for Historic Environment Record see also Sites and Monuments Record , SMR Hydroxyethylrutoside , a flavonoid Her novel disambig de HER eo HER fr HER it HER ... more details
Underwood made her first attempt at a Christmas variety special on Fox network FOX . Fox s Osbournes ...refimprove date June 2011 A variety show , also known as variety arts or variety entertainment , is an entertainment made up of a variety of acts, especially musical performances and sketch comedy , and normally ... and ventriloquism . The variety format made its way from Victorian era stage to radio to television. Variety shows were a staple of English language anglophone television from its early days into the 1970s, and lasted into the 1980s. In several parts of the world, variety TV remains popular ... States 283603 Variety shows?anchor ref1053883 Television in the United States. Encyclop dia Britannica Online, 2011. Web. 06 Jun. 2011 . ref Variety in the UK evolved in theatres and music ... television and radio did an apprenticeship either in stage variety, or during World War II in Entertainments National Service Association ENSA . In the UK, the ultimate accolade for a variety artist ... , then radio, and then television shows, including variety shows. In the 1960s, even a popular rock band such as The Beatles undertook this ritual of appearing on variety shows on TV. In the US, shows ... variety show format with Your Show of Shows 1950 54 and Caesar s Hour 1954 57 . ref http www.britannica.com ... fashion. On television, variety reached its peak during the period of the 1960s and 1970s. With a turn ... The Brady Bunch had a variety show. Variety shows were once as common on television as Western genre .... During the 1960s and 1970s, there were also numerous one time variety specials featuring stars such as Shirley ... television series. Contemporary U.S. variety shows Variety shows began to fade from popularity in the early 1970s, when research began to show that variety shows appealed to an older audience that was less ... era variety shows were canceled, though newer ones fewer in number nonetheless continued to be created and aired for several years after. By the late 1970s, variety shows had mostly ended production, and by the early ... more details
About the 1989 UK collection named after this story Second Variety 1989 collection a 1991 US volume of the same name Second Variety 1991 collection Refimprove date July 2007 Second Variety is an influential short story by Philip K. Dick first published in Space Science Fiction magazine, in May 1953. It is one of Dick s many stories in which nuclear war has rendered the Earth s surface an uninhabitable, gray ash pile, and the only things remaining are killer robots and a scattered humanity. The short story Jon s World 1954 revisited the claw infested world of Second Variety . Plot summary Second Variety occurs in the aftermath of an extensive nuclear war between the Soviet Union sometimes referred to as Russia and the United Nations. Early Soviet victories forced the North American government and production to flee to a Moon Base, leaving the majority of their troops behind. To counter the almost ... are identified I V, a wounded soldier, and III V, David. The II V the second variety remains unknown ... spacecraft. Hendricks attempts to leave, but Tasso quickly subdues him. She convinces him to let her ... pkdweb Second 20Variety.htm Second Variety at philipkdickfans.com ref Reviewing the story, critic Zack Handlen wrote, Second Variety is grim, violent, and suspenseful. There s enough characterization ... you can say for much of his other work Second Variety is the most user friendly piece of his ... remarked on the similarities between Second Variety and the Terminator franchise Terminator films, writing ... reasons the Terminator character T 800 was created. Publication history Second Variety was first ... II 1987 Second Variety 1989 collection Second Variety 1989 Second Variety 1991 collection Second Variety ... A Canadian film, based on Second Variety , titled Screamers 1995 film Screamers , was made in 1995, featuring Peter Weller . Its screen story fairly closely follows the plot of Second Variety . Critically ... Variety Librivox second variety philip k dick Second Variety Philip K. Dick Category Short stories ... more details
D sup × sup gives rise to a canonical Shimura variety. Its dimension d is the number of infinite ...In number theory , a Shimura variety is a higher dimensional analogue of a modular curve that arises as a quotient of a Hermitian symmetric space by a congruence subgroup of a reductive algebraic group defined over Q . The term Shimura variety applies to the higher dimensional case, in the case of one dimensional varieties one speaks of Shimura curves . Hilbert modular surface s and Siegel modular form Siegel modular varieties are among the best known classes of Shimura varieties. Special instances of Shimura varieties were originally introduced by Goro Shimura in the course of his generalization of the complex multiplication theory. Shimura showed that while initially defined analytically, they are arithmetic objects, in the sense that they admit models field of definition defined over a number field , the reflex field of the Shimura variety. In the 1970s, Pierre Deligne created an axiomatic ... of a Shimura variety are more amenable to study than general automorphic forms in particular, there is a construction ... variety Let A sub &fnof sub be the adele ring ring of adeles of Q . For any sufficiently small compact ... X times G mathbb A f K math is a finite disjoint union of locally symmetric variety locally symmetric ... variety associated with the Shimura datum G , X and denoted Sh G , X . History For special types ... of complex multiplication theory. In retrospect, the name Shimura variety was introduced ... models and special points Each Shimura variety can be defined over a canonical number field E called ... closure of sets of special points on a Shimura variety is described by the Andre Oort conjecture ..., Robert Langlands made a prediction that the Hasse Weil zeta function of any algebraic variety ... when W is a Shimura variety. ref Qualification many examples are known, and the sense in which they all ... variety can be expressed in terms of the automorphic L functions of his paper of 1970 is weaker, even ... more details
In mathematics the meaning of variety can be in algebraic geometry , an algebraic variety , which may be affine, projective or abstract or in universal algebra , a variety universal algebra variety , a set of structures satisfying some further given set of equations on their elements. mathdab ... more details
refimprove date August 2010 Italic title Variety Obituaries is a 15 volume series with facsimile reprints of the full text of every obituary published by the entertainment trade magazine Variety magazine Variety from 1905 to 1994. Information for each deceased person can include the following Date, place and cause of death. Birthdate and birthplace. Birth names, nicknames, aliases and other names used by celebrities. Education. Military record. Film, television and stage appearances. Awards. Career narrative. The first eleven volumes were published in 1988 by Garland Publishing , which subsequently became part of Routledge . Volumes and years covered class wikitable VARIETY OBITUARIES Volume Date Range ISBN 10 ISBN 13 auto column width width 60 Volume width 125 Date Range width 125 ISBN 10 width 150 ISBN 13 align center 1 1905 1928 ISBN 0 8240 0835 9 ISBN 978 0824008352 align center 2 1929 1938 ISBN 0 8240 0836 7 ISBN 978 0824008364 align center 3 1939 1947 ISBN 0 8240 0837 5 ISBN 978 0824008376 align center 4 1948 1956 ISBN 0 8240 0838 3 ISBN 978 0824008383 align center 5 1957 1963 ISBN 0 8240 0839 1 ISBN 978 0824008390 align center 6 1964 1968 ISBN 0 8240 0840 5 ISBN 978 0824008405 align center 7 1969 1974 ISBN 0 8240 0841 3 ISBN 978 0824008413 align center 8 1975 1979 ISBN 0 8240 0842 1 ISBN 978 0824008420 align center 9 1980 1983 ISBN 0 8240 0843 X ISBN 978 0824008437 align center 10 1984 1986 ISBN 0 8240 0844 8 ISBN 978 0824008444 align center 11 1905 1986 Index ISBN 0 8240 0845 6 ISBN 978 0824008451 align center 12 1987 1988 ISBN 0 8240 0846 4 ISBN 978 0824008468 align center 13 1989 1990 ISBN 0 8240 0847 2 ISBN 978 0824008475 align center 14 1991 1992 ISBN 0 8240 0848 0 ISBN 978 0824008482 align center 15 1993 1994 ISBN 0 8240 0849 9 ISBN 978 0824008499 Indexes Volume ..., Cary Grant is also indexed as Leach, Alexander Archibald . Clara Bow is also indexed by her ... keywords variety obituaries&x 15&y 19 Variety Obituaries at Amazon DEFAULTSORT Variety Obituaries Category ... more details
Unreferenced stub auto yes date December 2009 Orphan date October 2008 A composite variety is a plant population in which at least 70 of its Progeny genetic descendant progeny result from the cross breeding crossing of the parent lines. DEFAULTSORT Composite Variety Category Plant reproduction Category Agriculture stubs Botany stub Composite variety is a variety developed by mixing the seeds of various phenotypically outstanding lines possessing similarities for various characteristics like height, seed size, seed color, maturity etc. Crossing among the selected is encouraged. Features of Composite Variety Heterogeneous Relevant to cross pollinated species only Can be developed from open pollinated variety any other heterozygous variety Farmer can use his own saved seed for 3 to 4 years, after that seed should be replaced There can be two or more constituent genotypes Evaluation for general combining ability gca as in synthetic variety production, is not carried out Exact reconstitution of composite variety is not possible Examples and development of composite variety are given on the page Composite Variety Production. Visit to know more on the topics. ... more details
In mathematics, a ruled variety is a variety birational to a product of the projective line and another variety, and a uniruled variety is a variety that is dominated by a ruled variety. This concept is a generalisation not too remote of the ruled surface s of classical differential geometry. A variety is uniruled if and only if there is a rational curve passing though every point. Any uniruled variety has Kodaira dimension &minus &infin . In dimension at most 3, and conjecturally in all dimensions, the converse is true a variety of Kodaira dimension &minus &infin is uniruled. Consequences of the Miyaoka Mori theorem for smooth varieties Let X be a smooth projective variety over an algebraically closed field and math mathcal K X math its canonical divisor . Then if there exists a curve C in X such that math C . mathcal K X 0 math , the variety X is ruled. In particular, if X has nef line bundle nef anticanonical divisor , then for X to be ruled, it suffices for the anticanonical divisor to not be numerically trivial. References Citation last1 Clemens first1 Herbert last2 Koll r first2 J nos last3 Mori first3 Shigefumi title Higher dimensional complex geometry id MathSciNet id 1004926 year 1988 journal Ast risque issn 0303 1179 issue 166 pages 144 pp. 1989 Category algebraic geometry ... more details
In mathematics, the Kummer variety of an abelian variety is its quotient by the map taking any element to its inverse. The Kummer variety of a 2 dimensional abelian variety is called a Kummer surface . References Citation last1 Shimura first1 Goro title Abelian varieties with complex multiplication and modular functions publisher Princeton University Press series Princeton Mathematical Series isbn 978 0 691 01656 6 id MathSciNet id 1492449 year 1998 volume 46 Category Abelian varieties ... more details
Plant variety may refer to Variety botany , a taxonomic nomenclature rank in botany, below subspecies, but above subvariety and form Plant variety law , a non taxonomic, exclusively legal term applied to plants for which patent protection has been applied or to which it applies taxonomic categorization of such a plant may, on a case by case basis, be any Infraspecies infraspecific rank , usually a cultivar or hybrid Variety , an informal, incorrect and ambiguous substitute for form botany , a taxonomic nomenclature rank in botany, below variety as formally defined at variety botany and subvariety but above subform Variety , an informal, incorrect, ambiguous and vague substitute for cultivar or hybrid biology , the lowest taxonomic nomenclature ranks in botany used especially with regard to grapes and rice the equivalent term varietal , though not an official botany term, is also common in horticulture generally and is not as ambiguous, although still vague disambig id Varietas ... more details
coord 44 22 39.81 N 73 13 44.37 W region US display title Variety Unit is an exhibit building at Shelburne Museum in Shelburne, Vermont . History Variety Unit is the only structure at Shelburne Museum that is original to the site. Built in 1835, the building was originally known as the Weed House, but was renamed Variety Unit to reflect the wide range of decorative arts exhibited there. Architecture The original brick structure, with its front gable orientation and fully articulated pediment, reflects the style of Greek Revival architecture popular in the mid 19th century. However, the complex rambling interior composed of a series of one and two room additions, constructed over time as the occupants required more space, embodies the New England tradition of continuous architecture. Variety Unit Collections Glass Shelburne Museum s glass collection numbers nearly two thousand pieces dating from 1750 to 1900 and includes free blown flasks, window glass, and mold blown bottles and flasks pattern glass plates, serving dishes and decorative piecesl colorful canes, rolling pins, marbles, witch balls and other whimseys and miniature glass doll dishes. The Garrison collection of American pattern glass goblets includes eleven hundred patterns. In addition the collection includes a wide range ... pair of Chelsea swans can also be seen in the Variety Unit. Dolls and Dollhouses Shelburne ... in Variety Unit in galleries re designed in 2004 with new lighting and exhibition labels. ref ... in the Variety Unit. ref name Shelburne Museum 1993 Not all dolls were playthings. In the late 19th ... Museum s scrimshaw collection offers a broad range of forms. A variety of teeth are decorated ... at her toilette, and a clown walking on his hands. ref name shelburnemuseum.org Woodenare and Foodmolds ..., circular stamps to mark their butter with their brand. Other The Variety Unit is also home to the glass ... and grounds detail.php?id 31 Variety Unit See also Shelburne Museum Toy Shop Category Shelburne Museum ... more details
Unreferenced date January 2010 About the taxonomic rank in botany Variety disambiguation In botanical nomenclature , variety abbreviated var. in Latin varietas is a taxonomic rank below that of species as such, it gets a three part Infraspecific name botany infraspecific name . Botanical nomenclature A variety will have an appearance distinct from other varieties, but will hybridize freely with those other varieties if brought into contact . Usually varieties will be geographically separate from each other. Example The pincushion cactus, Escobaria vivipara Nutt. Buxb., is a wide ranging variable species occurring from Canada to Mexico , and found throughout New Mexico below about convert 2600 m ft . Nine varieties have been described. Where the varieties of the pincushion cactus meet, they intergrade . The variety Escobaria vivipara var. arizonica is from Arizona , while Escobaria vivipara var. neo mexicana is from New Mexico. Other nomenclature uses In plant breeding nomenclature, at least in countries that are signatory to the UPOV Convention, variety plant variety or plant variety is a legal term. In zoological nomenclature , the only allowed rank below that of species is that of subspecies . A name that was published before 1961 as that of a variety is taken to be the name of a subspecies. A name published after 1960 as that of a variety does not formally exist. In zoology, Form ... Code of Zoological Nomenclature ICZN . In bacteriological nomenclature variety is not allowed ... nomenclature, what is referred to as grape variety grape varieties are in reality cultivar s according to usage in the International Code of Nomenclature for Cultivated Plants or variety plant ... seed plant s . However, usage of the term variety is so entrenched in viticulture that a change to cultivar is unlikely. Plant variety law Subvariety Variety plant See also Trinomial nomenclature Form ... Variety Category Plant taxonomy 1rank26 botany stub ar az M xt liflik botanika ca Varietat ... more details
Variety Tonight was a CBC Radio show which aired from 1980 until 1984 at 8 10 PM. Variety Tonight was a nightly series featuring jazz music jazz and pop music as well as trivia game s, book and movie review s and interviews . The show was hosted by David Coles radio host David Coles 1980 81 followed by Vicki Gabereau . External links http www.broadcasting history.ca networks CBC Radio Program Details VARIETY TONIGHT.html Variety Tonight Category CBC Radio One programs Canada radio show stub ... more details
Infobox Theatre name Variety Playhouse image VarietyPlayhouseAtlantaFrontFacade.JPG image size 360px ... Variety Playhouse is a music venue in the Little Five Points neighborhood of Atlanta, Georgia Atlanta , Georgia U.S. state Georgia , United States . It is located on Euclid Avenue and features a variety ... a variety of domestic and imported beers, wine and typical theater snacks. History The building dates ... ref The Society proceeded to have film festivals and other events in Ellis honor for a few years . Variety ... The Variety Playhouse and reportedly spent 100,000 renovating the building. This included building ... of the theater only lasted about one year. Variety Playhouse 1990 present File Magnapop reunion 2011.jpg alt thumb The Variety Playhouse continues its operations today here, Atlanta based Magnapop is shown ... Constitution that he planned to make the Variety into a place where you can see a top rated concert ... 10&p sort YMD date D&s trackval GooglePM title Variety gets new manager first Keith L. last Thomas ... under the same management. ref name VPTechSpecs Artists Image Katie White Variety Playhouse.JPG thumb 250px right Katie White of The Ting Tings performs at the Variety Playhouse on 23 October 2008 As suggested by the name of the venue, a wide variety of artists have performed here in the two decades ... , ref name Flickr Citation url http www.flickr.com photos variety playhouse title Variety Playhouse s photostream publisher Flickr.com accessdate 2009 01 19 ref Natasha Bedingfield , ref Her 2008 ... musical revolution in Atlanta s Variety Playhouse first Tomi and Kurk last Johnson publisher Wingcom ... good acoustics and a well equipped sound system, ref name VPTechSpecs Citation url http variety playhouse.com Variety Specs 2007.pdf title Variety Playhouse Technical Specifications PDF publisher Variety ... at the Variety Playhouse 7.10.99 ref Lea DeLaria , ref Allmusic class album id r202816 label Bulldyke ... index.php?option com content&task view&id 18 title Dominic Gaudious Live at the Variety Playhouse ... more details
Infobox magazine title Variety image file Variety logo sm.jpg image size 200px president Neil R Stiles ... variety.com issn 0042 2738 Variety is an American weekly entertainment trade journal trade magazine ... motion picture industry , Daily Variety , a daily edition based in Los Angeles, was founded by Silverman in 1933. In 1998, the Daily Variety Gotham edition, based in New York City was added. All three have been in continual operation since. Now delivered to 60 countries, Variety presents in depth ... production charts, an in depth industry calendar and reviews dating back to 1914. Variety Events target every aspect of the entertainment industry. These events include the Variety Screening Series, held in both NYC and LA showcasing award contenders and Variety s philanthropic Power of events, including Power of Youth, Power of Women, Power of Comedy, and Power of Music. Variety also delivers ... of Reed Elsevier . History Variety has been published since December 16, 1905, ref cite news ... launched Daily Variety , based in Hollywood, Los Angeles, California Hollywood . Silverman was the editor of the Variety Inc. publications until selecting Abel Green as his replacement in 1931 he remained ..., was the sole heir to what was then Variety Inc. Young Syd s legal guardian Harold Erichs oversaw Variety Inc. until 1956. From then Syd took over and managed the company until 1987, when he sold it to Cahners ... of vice president and editorial director , characterised online as Boffo No More Bart Up and Out at Variety ... of Guard at Variety Reflects Shifting Landscape work The New York Times date April 6, 2009 Accessed ... Editorial Editorial Staff . Variety . Undated. Accessed August 9, 2009. ref Circulation Circulation ... of Circulations North America Audit Bureau of Circulations , March 17, 2010 Editions Variety started ... and delivered internationally. Daily Variety started in 1933 is the name of the Los Angeles based Hollywood and Broadway Theatre Broadway daily edition. Daily Variety Gotham, started in 1998 is the name ... more details
In mathematics , the Albanese variety A V , named for Giacomo Albanese , is a generalization of the Jacobian variety of a curve, and is the abelian variety generated by a variety V . In other words there is a morphism from the variety V to its Albanese variety A V , such that any morphism from V to an abelian variety factors uniquely through A V . For complex manifolds harvtxt Blanchard 1956 defined the Albanese variety in a similar way, as a morphism from V to a torus A V such that any morphism to a torus factors uniquely through this map. Although it is called a variety in this case, it need not be algebraic. For compact space compact K hler manifold s the dimension of the Albanese is the Hodge number h sup 1,0 sup , the dimension of the space of differentials of the first kind on V , which for surfaces is called the irregularity of a surface . In terms of differential form s, any holomorphic 1 form on V is a pullback differential geometry pullback of an invariant 1 form on the Albanese, coming from the holomorphic cotangent space of Alb V at its identity element. Just as for the curve case, by choice of a base point on V from which to integrate , an Albanese morphism math V to operatorname Alb V math is defined, along which the 1 forms pull back. This morphism is unique up to a translation on the Albanese. For varieties over fields of positive characteristic, the dimension of the Albanese variety may be less than the Hodge numbers h sup 1,0 sup and h sup 0,1 sup which need not be equal . Connection to Picard variety The Albanese variety is duality theory of abelian varieties dual to the Picard variety the connected space connected component of zero of the Picard scheme classifying invertible sheaves on V math operatorname Alb ,V operatorname Pic 0 ,V vee math See also Intermediate Jacobian Albanese scheme References Citation last1 Blanchard first1 Andr title Sur les vari t s analytiques complexes url http www.numdam.org item?id ASENS 1956 3 73 2 157 0 mr 0087184 ... more details
For other varieties named after Coble, see Coble curve , Coble surface , Coble hypersurface . In mathematics, Coble variety is a 4 dimensional variety studied by Arthur Coble . The Coble variety is the moduli space of ordered sets of 6 points in the projective plane, and can be represented as a double cover of the projective 4 space branched over the Igusa quartic . References Citation last1 Hunt first1 Bruce title The geometry of some special arithmetic quotients publisher Springer Verlag location Berlin, New York series Lecture Notes in Mathematics isbn 978 3 540 61795 2 doi 10.1007 BFb0094399 mr 1438547 year 1996 volume 1637 Category Algebraic varieties ... more details
In mathematics , a quasiprojective variety in algebraic geometry is a locally closed subset of a projective variety , i.e., the intersection inside some projective space of a Zariski open and a Zariski closed subset. A similar definition is used in scheme theory , where a quasiprojective scheme is a locally closed subscheme of some projective space. ref http eom.springer.de q q076660.htm ref Relationship to affine varieties For example, affine space is a Zariski open subset of projective space , and since any closed affine subset math U math can be expressed as an intersection of the projective completion math bar U math and the affine space embedded in the projective space, this implies that any affine variety is quasiprojective. There are locally closed subsets of projective space that are not affine, so that quasiprojective is more general than affine. Taking the complement of a single point in projective space of dimension at least 2 gives a non affine quasiprojective variety. This is also an example of a quasiprojective variety that is neither affine nor projective. Examples Since quasiprojective varieties generalize both affine and projective varieties, they are sometimes referred to simply as varieties . Varieties isomorphic to affine algebraic varieties as quasiprojective varieties are called affine variety affine varieties similarly for projective varieties. For example, the complement of a point in the affine line, i.e. math X mathbb A 1 0 math , is isomorphic to the zero set of the polynomial math xy 1 math in the affine plane. As an affine set X is not closed since any polynomial zero on the complement must be zero on the affine line. For another example, the complement ... that a manifold is locally Euclidean &mdash every point of a quasiprojective variety has a neighborhood given by an affine variety. This yields a basis of affine sets for the Zariski topology on a quasiprojective variety. References Igor R. Shafarevich, Basic Algebraic Geometry 1 , Springer ... more details
In mathematics , in the field of algebraic geometry , the idea of abstract variety is to define a concept of algebraic variety in an intrinsic way. This followed the trend in the definition of manifold independent of any ambient space Hassler Whitney , in the 1930s by some years, the first notions being those of Oscar Zariski and Andr Weil in the 1940s. It was Weil, in his foundational work, who gave a first acceptable definition of algebraic variety that stood outside projective space . The simplest notion of algebraic variety is affine algebraic variety. If k is a given algebraically closed field, then A sup n sup k is the n fold Cartesian product of k with itself. Given an ideal I in the ring k x sub 1 sub ,...,x sub n sub of polynomials in n variables over k, the zero set V I is the affine variety defined by the ideal. Unfortunately, affine varieties lack a fundamental property known as completeness. To address this deficiency, affine varieties can be completed , by embedding them in projective space. Formally, a new variable x sub 0 sub is introduced, and the polynomials are replaced by homogeneous polynomials. Choosing an index i to omit from the defining polynomials provide an affine subspace of P sup n sup , and an open affine subvariety of the projective variety. The problem with this approach is that the mechanics of working with projective space and homogeneous coordinates is not terribly geometrical, and is also somewhat arbitrary. Taking a step back, we see that if V is projective variety, the set of affine varieties we have defined is an open cover of V. Moreover, if U sub sub is an element of the open cover, there is an associated affine coordinate ring O ... as the structure sheaf . An abstract variety V,O is a topological space V with an associated ... U such that V sub U sub , O sub U sub is isomorphic to an affine variety, and such that any morphism ... The notion of abstract variety is closely analogous to that of a scheme mathematics scheme ... more details
In cybernetics the term variety denotes the total number of distinct states of a system . Overview The term Variety was introduced by W. Ross Ashby to denote the count of the total number of states of a system ... by his Law of Requisite Variety. Ashby says ref Ashby 1956 p 124 ref blockquote Thus, if the order ... only three distinct elements a, b, c. Such a set will be said to have a variety of three elements ... if the variety is to be well defined. ref Ashby 1956 p125 ref blockquote Variety can be stated as an integer ... p126 ref The Law of Requisite Variety If a system is to be stable the number of states of its control ... states the Law as only variety can destroy variety . ref Ashby 1956 p207 ref He sees this as aiding ... with the case of incessant fluctuations or noise. The Requisite Variety condition can be seen as a simple ... equilibrium . Stafford Beer defines variety as the total number of possible states of a system, or of an element ... formula Wahrscheinlichkeit . Beer restates the Law of Requisite Variety as Variety absorbs variety . ref Beer 1979 p286 ref Stated more simply the logarithmic measure of variety represents the minimum ... of the required inputs and outputs is established then encoder encoded with the minimum variety ... the variety of teams competing in games like football or rugby to produce goals or tries. A winning chess player might be said to have more variety than his losing opponent. Here a simple order group theory ordering is implied. The attenuation and Amplifier amplification of variety were major themes .... The application of natural and analogue signals to variety analysis require an of estimate Ashby ... the patient. Here no amount of variety recording the patients average temperature would detect this small signal which might have a big effect. Monitoring is required on individuals thus amplifying variety ... and VSM is largely based on variety engineering. Further applications involving Ashby s view of state ... and Cellular automaton . Requisite Variety can be seen in Chaitin s Algorithmic information theory ... more details
variety is a Algebraic variety Projective variety projective algebraic variety that is also an algebraic ... research on other topics in algebraic geometry and number theory. An abelian variety can be defined by equations having coefficients in any field mathematics field the variety is then said to be defined ... naturally as Jacobian variety Jacobian varieties the connected components of zero in Picard variety Picard varieties and Albanese variety Albanese varieties of other algebraic varieties. The group law of an abelian variety is necessarily commutative and the variety is non singular . An elliptic curve is an abelian variety of dimension 1. Abelian varieties have Kodaira dimension 0. History and motivation ... of an abelian variety of dimension 2 an abelian surface what would now be called the Jacobian of a hyperelliptic ... tori. He also appears to be the first to use the name abelian variety . It was Andr Weil ... in the study of Hamiltonian system s , and in algebraic geometry especially Picard variety Picard varieties and Albanese variety Albanese varieties . Analytic theory Definition A complex torus of dimension ... group lattice of rank 2 g . A complex abelian variety of dimension g is a complex torus of dimension g that is also a projective algebraic variety over the field of complex numbers. Since they are complex ... of an algebraic variety, this structure is necessarily unique. In the case g 1, the notion of abelian variety is the same as that of elliptic curve , and every complex torus gives rise to such a curve for g 1 it has been known since Bernhard Riemann Riemann that the algebraic variety condition ... decides whether or not a given complex torus is an abelian variety, i.e. whether or not it can ... vector space of dimension g and L is a lattice in V . Then X is an abelian variety if and only ... with an abelian variety J of dimension g , by means of an analytic map of C into J . As a torus, J carries ... variety J is called the Jacobian variety of C , for any non singular curve C over the complex ... more details
In mathematics, an arithmetic variety is the quotient space of a Hermitian symmetric space by an arithmetic subgroup of the associated algebraic Lie group . Further reading Introduction to modern number theory , By Yu I. Manin, Alekse A. Panchishkin On arithmetic varieties by David Kazhdan, Israel J. Math. 44 1983 , no. 2, 139 159. See also Arakelov theory Arithmetic Chow groups Arithmetic Chow groups Arithmetic of abelian varieties Abelian variety Category Number theory algebra stub ... more details
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