About: Moishezon manifold

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In mathematics, a Moishezon manifold M is a compact complex manifold such that the field of meromorphic functions on each component M has transcendence degree equal the complex dimension of the component:

Attributes	Values
rdfs:label	Moishezon manifold (en) Moisjezonmångfald (sv)
rdfs:comment	Inom matematiken är en Moisjezonmångfald M en så att av kroppen av av varje komponent M är lika med av komponenten: Komplexa algebraiska varieteter har denna egenskap, men omvändningen gäller inte alltid: ger en slät 3-dimensionell Moisjezonmångfald som varken är en algebraisk varietet eller ett . bevisade att en Moisjezonmångfald är en om och bara om den har en . (sv) In mathematics, a Moishezon manifold M is a compact complex manifold such that the field of meromorphic functions on each component M has transcendence degree equal the complex dimension of the component: (en)
dcterms:subject	Analytic geometry Algebraic geometry
Wikipage page ID	3046549 (xsd:integer)
Wikipage revision ID	1099334523 (xsd:integer)
Link from a Wikipage to another Wikipage	Meromorphic function Algebraic space Mathematics Complex dimension Complex manifold Algebraic variety Analytic geometry Field (mathematics) Hironaka's example Algebraic geometry Scheme (mathematics) Transcendence degree Kähler metric Projective algebraic variety
Link from a Wikipage to an external page	https://www.mathunion.org/fileadmin/ICM/Proceedings/ICM1970.2/ICM1970.2.ocr.pdf%7Curl=http:/ada00.math.uni-bielefeld.de/ICM/ICM1970.2/%7Caccess-date=2013-06-14%7Carchive-url=https:/web.archive.org/web/20150213112226/http:/ada00.math.uni-bielefeld.de/ICM/ICM1970.2/%7Carchive-date=2015-02-13%7Curl-status=dead http://mi.mathnet.ru/eng/izv/v30/i1/p133%7Ctitle=B. http://mi.mathnet.ru/eng/izv/v30/i2/p345%7Ctitle=B. http://mi.mathnet.ru/eng/izv/v30/i3/p621%7Ctitle=B.
sameAs	Moishezon manifold Moishezon manifold Moishezon manifold Moishezon manifold Moishezon manifold Moishezon manifold
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Cite_book dbt:Cite_journal dbt:Harvtxt dbt:Math dbt:Mvar dbt:Algebraic-geometry-stub
has abstract	In mathematics, a Moishezon manifold M is a compact complex manifold such that the field of meromorphic functions on each component M has transcendence degree equal the complex dimension of the component: Complex algebraic varieties have this property, but the converse is not true: Hironaka's example gives a smooth 3-dimensional Moishezon manifold that is not an algebraic variety or scheme. , Chapter I, Theorem 11) showed that a Moishezon manifold is a projective algebraic variety if and only if it admits a Kähler metric. showed that any Moishezon manifold carries an algebraic space structure; more precisely, the category of Moishezon spaces (similar to Moishezon manifolds, but are allowed to have singularities) is equivalent with the category of algebraic spaces that are proper over Spec(C). (en) Inom matematiken är en Moisjezonmångfald M en så att av kroppen av av varje komponent M är lika med av komponenten: Komplexa algebraiska varieteter har denna egenskap, men omvändningen gäller inte alltid: ger en slät 3-dimensionell Moisjezonmångfald som varken är en algebraisk varietet eller ett . bevisade att en Moisjezonmångfald är en om och bara om den har en . (sv)
prov:wasDerivedFrom	wikipedia-en:Moishezon_manifold?oldid=1099334523&ns=0
page length (characters) of wiki page	3357 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Moishezon_manifold
is Link from a Wikipage to another Wikipage of	Algebraic space Hironaka's example Kodaira embedding theorem Boris Moishezon Kodaira dimension Iitaka dimension Moisezon manifold Moisezon space Moishezon space Moišezon manifold Moišezon space
is Wikipage redirect of	Moisezon manifold Moisezon space Moishezon space Moišezon manifold Moišezon space
is foaf:primaryTopic of	wikipedia-en:Moishezon_manifold

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