About: Oka coherence theorem

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In mathematics, the Oka coherence theorem, proved by Kiyoshi Oka, states that the sheaf of germs of holomorphic functions on over a complex manifold is coherent.

Attributes	Values
rdf:type	yago:WikicatTheoremsInComplexAnalysis yago:Abstraction100002137 yago:Communication100033020 yago:Message106598915 yago:Proposition106750804 yago:Statement106722453 yago:Theorem106752293
rdfs:label	Oka coherence theorem (en) 岡の連接定理 (ja)
rdfs:comment	In mathematics, the Oka coherence theorem, proved by Kiyoshi Oka, states that the sheaf of germs of holomorphic functions on over a complex manifold is coherent. (en) 数学における岡の連接定理（おかのれんせつていり、英: Oka coherence theorem）とは、岡潔（1950）によって証明された定理である。その定理によると、複素多様体上の正則函数の層は、連接である。 (ja)
dcterms:subject	Theorems in complex geometry Theorems in complex analysis
Wikipage page ID	28132779 (xsd:integer)
Wikipage revision ID	1099393567 (xsd:integer)
Link from a Wikipage to another Wikipage	Holomorphic function Function of several complex variables Complex manifold Algebraic geometry and analytic geometry Germ (mathematics) Theorems in complex geometry Theorems in complex analysis Coherent sheaf Sheaf (mathematics) Oka–Weil theorem
Link from a Wikipage to an external page	https://www.ms.u-tokyo.ac.jp/~noguchi/WeakcohOka_3.pdf http://www.numdam.org/item%3Fid=BSMF_1950__78__1_0
sameAs	Oka coherence theorem Oka coherence theorem Oka coherence theorem Oka coherence theorem Oka coherence theorem
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Ref_begin dbt:Ref_end dbt:Reflist dbt:Short_description dbt:Harvs dbt:Eom dbt:Mathanalysis-stub
authorlink	Kiyoshi Oka (en)
first	Kiyoshi (en) A.L. (en)
id	c/c022990 (en)
last	Oka (en) Onishchik (en)
title	Coherent analytic sheaf (en)
year	1950 (xsd:integer)
has abstract	In mathematics, the Oka coherence theorem, proved by Kiyoshi Oka, states that the sheaf of germs of holomorphic functions on over a complex manifold is coherent. (en) 数学における岡の連接定理（おかのれんせつていり、英: Oka coherence theorem）とは、岡潔（1950）によって証明された定理である。その定理によると、複素多様体上の正則函数の層は、連接である。 (ja)
prov:wasDerivedFrom	wikipedia-en:Oka_coherence_theorem?oldid=1099393567&ns=0
page length (characters) of wiki page	1918 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Oka_coherence_theorem
is Link from a Wikipage to another Wikipage of	Analytic space Algebraic geometry and analytic geometry Coherent sheaf Kiyoshi Oka Sheaf (mathematics) Oka–Weil theorem Oka's coherence theorem Oka's theorem
is Wikipage redirect of	Oka's coherence theorem Oka's theorem
is known for of	Kiyoshi Oka
is foaf:primaryTopic of	wikipedia-en:Oka_coherence_theorem

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