A Finiteness Theorem for the Brauer Group of K3 Surfaces in Odd Characteristic

DOI10.1093/imrn/rnv030zbMath1347.14003arXiv1403.0849OpenAlexW2964053315MaRDI QIDQ3458781

Alexei N. Skorobogatov, Yuri G. Zarhin

Publication date: 23 December 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.0849

zbMATH Keywords

\(K3\) surfacesBrauer group

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Étale and other Grothendieck topologies and (co)homologies (14F20) Arithmetic ground fields for abelian varieties (14K15) Brauer groups of schemes (14F22)

Related Items (3)

Geometric monodromy -- semisimplicity and maximality ⋮ Finiteness of Brauer groups of K3 surfaces in characteristic 2 ⋮ On an analogue of the conjecture of Birch and Swinnerton-Dyer for abelian schemes over higher dimensional bases over finite fields

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