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In mathematics, and in particular differential geometry and complex geometry, a complex analytic variety or complex analytic space is a generalization of a complex manifold which allows the presence of singularities. Complex analytic varieties are locally ringed spaces which are locally isomorphic to local model spaces, where a local model space is an open subset of the vanishing locus of a finite set of holomorphic functions.

Attributes	Values
rdfs:label	Analitika variaĵo (eo) Complex analytic variety (en) 複素解析空間 (ja) Variedade analítica (pt) Аналітична множина (uk)
rdfs:comment	En matematiko, aparte geometrio, analitika variaĵo estas difinita loke kiel la aro de komunaj solvaĵoj de kelkaj ekvacioj engaĝantaj . Ĝi estas analoga al la inkluzivita koncepto de kompleksa algebra variaĵo, kaj ĉiu kompleksa sternaĵo estas analitiko variaĵo. Pro tio ke algebraj variaĵoj povas havi singularajn punktojn, ne ĉiuj analitikaj variaĵoj estas kompleksaj sternaĵoj. (eo) In mathematics, and in particular differential geometry and complex geometry, a complex analytic variety or complex analytic space is a generalization of a complex manifold which allows the presence of singularities. Complex analytic varieties are locally ringed spaces which are locally isomorphic to local model spaces, where a local model space is an open subset of the vanishing locus of a finite set of holomorphic functions. (en) 複素解析空間（ふくそかいせきくうかん、英: complex analytic space）とは、同型を除いて一意的な"解析空間の構造"と呼ばれる構造が定義されたハウスドルフ空間を言う。曖昧さがあったそれまでのリーマン面の概念を整理するためにアンリ・カルタンによって導入された。 (ja) Em matemática, mais especificamente na geometria diferencial e na geometria complexa, uma variedade analítica complexa ou um espaço analítico complexo é uma generalização de uma variedade complexa que permite a presença de singularidades. Variedades analíticas complexas são que são localmente isomorfos a espaços modelo locais, em que um espaço modelo local é um subconjunto aberto do conjunto de zeros de um conjunto finito de funções holomorfas. (pt) Аналіти́чна множина — це множина спільних нулів скінченної сім'ї аналітичних функцій. (uk)
dcterms:subject	Several complex variables Algebraic geometry
Wikipage page ID	18748850 (xsd:integer)
Wikipage revision ID	1122128644 (xsd:integer)
Link from a Wikipage to another Wikipage	Algebra over a field Annales de l'Institut Fourier Holomorphic function Analytic space Several complex variables Mathematics GAGA Singularity theory Complex affine space Complex algebraic variety Complex geometry Complex manifold Algebraic variety Algebraic geometry Differential geometry Scheme (mathematics) Sheaf (mathematics) Scheme of finite type BY-NC-SA Springer-Verlag Locally ringed space Structure sheaf
Link from a Wikipage to an external page	https://ocw.mit.edu/courses/mathematics/18-726-algebraic-geometry-spring-2009/lecture-notes https://ocw.mit.edu/courses/mathematics/18-726-algebraic-geometry-spring-2009/lecture-notes/MIT18_726s09_lec22_gaga.pdf https://link.springer.com/chapter/10.1007%2FBFb0058667%7Cdoi=10.1007/BFb0058656%7Clanguage=fr https://www.jirka.org/scv/ https://www.researchgate.net/publication/226554588%7Ctitle=De http://www.numdam.org/volume/SHC_1951-1952__4/ http://www.numdam.org/numdam-bin/item%3Fid=AIF_1956__6__1_0 http://gdz.sub.uni-goettingen.de/dms/resolveppn/%3FPPN=GDZPPN002286920
sameAs	Complex analytic variety Complex analytic variety Complex analytic variety Complex analytic variety Complex analytic variety Complex analytic variety
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Cite_journal dbt:Cite_web dbt:Refbegin dbt:Refend dbt:Reflist dbt:Sfn dbt:Short_description dbt:Google_books dbt:Eom
title	Analytic set (en) Analytic space (en)
has abstract	En matematiko, aparte geometrio, analitika variaĵo estas difinita loke kiel la aro de komunaj solvaĵoj de kelkaj ekvacioj engaĝantaj . Ĝi estas analoga al la inkluzivita koncepto de kompleksa algebra variaĵo, kaj ĉiu kompleksa sternaĵo estas analitiko variaĵo. Pro tio ke algebraj variaĵoj povas havi singularajn punktojn, ne ĉiuj analitikaj variaĵoj estas kompleksaj sternaĵoj. (eo) In mathematics, and in particular differential geometry and complex geometry, a complex analytic variety or complex analytic space is a generalization of a complex manifold which allows the presence of singularities. Complex analytic varieties are locally ringed spaces which are locally isomorphic to local model spaces, where a local model space is an open subset of the vanishing locus of a finite set of holomorphic functions. (en) 複素解析空間（ふくそかいせきくうかん、英: complex analytic space）とは、同型を除いて一意的な"解析空間の構造"と呼ばれる構造が定義されたハウスドルフ空間を言う。曖昧さがあったそれまでのリーマン面の概念を整理するためにアンリ・カルタンによって導入された。 (ja) Em matemática, mais especificamente na geometria diferencial e na geometria complexa, uma variedade analítica complexa ou um espaço analítico complexo é uma generalização de uma variedade complexa que permite a presença de singularidades. Variedades analíticas complexas são que são localmente isomorfos a espaços modelo locais, em que um espaço modelo local é um subconjunto aberto do conjunto de zeros de um conjunto finito de funções holomorfas. (pt) Аналіти́чна множина — це множина спільних нулів скінченної сім'ї аналітичних функцій. (uk)
author-first	A.G. (en) A.L. (en)
author-last	El'kin (en) Onishchik (en)
oldid	45180 (xsd:integer) 45182 (xsd:integer)
prov:wasDerivedFrom	wikipedia-en:Complex_analytic_variety?oldid=1122128644&ns=0
page length (characters) of wiki page	9609 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Complex_analytic_variety
is Link from a Wikipage to another Wikipage of	Deformation (mathematics) Complex analytic space Function of several complex variables Condensed mathematics Analytic variety Complex manifold Lelong number Complex-analytic space Complex analytic geometry Complex analytic varieties Complex-analytic variety Analytic varieties
is Wikipage redirect of	Complex analytic space Analytic variety Complex-analytic space Complex analytic geometry Complex analytic varieties Complex-analytic variety Analytic varieties
is foaf:primaryTopic of	wikipedia-en:Complex_analytic_variety

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