Sous-groupe de Brauer invariant et obstruction de descente itérée

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Yang Cao

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OriginalspracheFranzösisch
Seiten (von - bis)2151-2183
Seitenumfang33
FachzeitschriftAlgebra and Number Theory
Jahrgang14
Ausgabenummer8
PublikationsstatusVeröffentlicht - 18 Sept. 2020

Abstract

For a quasi-projective smooth geometrically integral variety over a number field k, we prove that the iterated descent obstruction is equivalent to the descent obstruction. This generalizes a result of Skorobogatov, and this answers an open question of Poonen. Our main tools are the notion of invariant Brauer subgroup and the notion of invariant étale Brauer–Manin obstruction for a k-variety equipped with an action of a connected linear algebraic group.

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Sous-groupe de Brauer invariant et obstruction de descente itérée. / Cao, Yang.
in: Algebra and Number Theory, Jahrgang 14, Nr. 8, 18.09.2020, S. 2151-2183.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Cao Y. Sous-groupe de Brauer invariant et obstruction de descente itérée. Algebra and Number Theory. 2020 Sep 18;14(8):2151-2183. doi: 10.48550/arXiv.1704.05425, 10.2140/ant.2020.14.2151
Cao, Yang. / Sous-groupe de Brauer invariant et obstruction de descente itérée. in: Algebra and Number Theory. 2020 ; Jahrgang 14, Nr. 8. S. 2151-2183.
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