Grothendieck's theorem on non-abelian H 2 and local-global principles


Dateien zu dieser Ressource

Dateien Größe Format Anzeige

Zu diesem Dokument gibt es keine Dateien.

FLICKER, Yuval Z., Claus SCHEIDERER, Ramdorai SUJATHA, 1998. Grothendieck's theorem on non-abelian H 2 and local-global principles. In: Journal of the American Mathematical Society. 11(03), pp. 731-751. ISSN 0894-0347. eISSN 1088-6834

@article{Flicker1998Groth-23308, title={Grothendieck's theorem on non-abelian H 2 and local-global principles}, year={1998}, doi={10.1090/S0894-0347-98-00271-9}, number={03}, volume={11}, issn={0894-0347}, journal={Journal of the American Mathematical Society}, pages={731--751}, author={Flicker, Yuval Z. and Scheiderer, Claus and Sujatha, Ramdorai} }

<rdf:RDF xmlns:rdf="" xmlns:bibo="" xmlns:dc="" xmlns:dcterms="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:contributor>Sujatha, Ramdorai</dc:contributor> <dcterms:issued>1998</dcterms:issued> <dc:rights>deposit-license</dc:rights> <dcterms:available rdf:datatype="">2013-05-16T09:33:17Z</dcterms:available> <dc:creator>Flicker, Yuval Z.</dc:creator> <dc:language>eng</dc:language> <bibo:uri rdf:resource=""/> <dc:date rdf:datatype="">2013-05-16T09:33:17Z</dc:date> <dc:creator>Sujatha, Ramdorai</dc:creator> <dc:creator>Scheiderer, Claus</dc:creator> <dcterms:bibliographicCitation>Journal of the American Mathematical Society ; 11 (1998). - S. 731-750</dcterms:bibliographicCitation> <dc:contributor>Scheiderer, Claus</dc:contributor> <dcterms:rights rdf:resource=""/> <dcterms:abstract xml:lang="eng">A theorem of Grothendieck asserts that over a perfect field k of cohomological dimension one, all non-abelian H(2)-cohomology sets of algebraic groups are trivial. The purpose of this paper is to establish a formally real generalization of this theorem. The generalization - to the context of perfect fields of virtual cohomological dimension one - takes the form of a local-global principle for the H(2)-sets with respect to the orderings of the field. This principle asserts in particular that an element in H(2) is neutral precisely when it is neutral in the real closure with respect to every ordering in a dense subset of the real spectrum of k. Our techniques provide a new proof of Grothendieck's original theorem. An application to homogeneous spaces over k is also given.</dcterms:abstract> <dcterms:title>Grothendieck's theorem on non-abelian H 2 and local-global principles</dcterms:title> <dc:contributor>Flicker, Yuval Z.</dc:contributor> </rdf:Description> </rdf:RDF>

Das Dokument erscheint in:

KOPS Suche


Mein Benutzerkonto