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Statements

Subject Item: dbr:Emmy_Noether
dbo:wikiPageWikiLink: dbr:Tsen's_theorem

Subject Item: dbr:Étale_cohomology
dbo:wikiPageWikiLink: dbr:Tsen's_theorem

Subject Item: dbr:Algebraic_curve
dbo:wikiPageWikiLink: dbr:Tsen's_theorem

Subject Item: dbr:Brauer_group
dbo:wikiPageWikiLink: dbr:Tsen's_theorem

Subject Item: dbr:Quasi-algebraically_closed_field
dbo:wikiPageWikiLink: dbr:Tsen's_theorem

Subject Item: dbr:Ring_(mathematics)
dbo:wikiPageWikiLink: dbr:Tsen's_theorem

Subject Item: dbr:Chiungtze_C._Tsen
dbo:wikiPageWikiLink: dbr:Tsen's_theorem

Subject Item: dbr:Tsen's_theorem
rdf:type: yago:Communication100033020 yago:Proposition106750804 yago:Message106598915 yago:Abstraction100002137 yago:WikicatTheoremsInAlgebraicGeometry yago:Statement106722453 yago:Theorem106752293
rdfs:label: Tsen's theorem
rdfs:comment: In mathematics, Tsen's theorem states that a function field K of an algebraic curve over an algebraically closed field is quasi-algebraically closed (i.e., C1). This implies that the Brauer group of any such field vanishes, and more generally that all the Galois cohomology groups H i(K, K*) vanish for i ≥ 1. This result is used to calculate the étale cohomology groups of an algebraic curve. The theorem was published by Chiungtze C. Tsen in 1933.
dcterms:subject: dbc:Theorems_in_algebraic_geometry
dbo:wikiPageID: 10129446
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dbo:abstract: In mathematics, Tsen's theorem states that a function field K of an algebraic curve over an algebraically closed field is quasi-algebraically closed (i.e., C1). This implies that the Brauer group of any such field vanishes, and more generally that all the Galois cohomology groups H i(K, K*) vanish for i ≥ 1. This result is used to calculate the étale cohomology groups of an algebraic curve. The theorem was published by Chiungtze C. Tsen in 1933.
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dbo:wikiPageLength: 2181
foaf:isPrimaryTopicOf: wikipedia-en:Tsen's_theorem

Subject Item: dbr:Tsen_(disambiguation)
dbo:wikiPageWikiLink: dbr:Tsen's_theorem
dbo:wikiPageDisambiguates: dbr:Tsen's_theorem

Subject Item: dbr:Tsen_rank
dbo:wikiPageWikiLink: dbr:Tsen's_theorem

Subject Item: dbr:List_of_theorems
dbo:wikiPageWikiLink: dbr:Tsen's_theorem

Subject Item: dbr:U-invariant
dbo:wikiPageWikiLink: dbr:Tsen's_theorem

Subject Item: wikipedia-en:Tsen's_theorem
foaf:primaryTopic: dbr:Tsen's_theorem