On the finiteness of the Brauer group of an arithmetic scheme

DOI10.1134/S0001434614010131zbMath1314.14041MaRDI QIDQ2341965

S. G. Tankeev

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

\(K3\) surfaceBrauer groupEnriques surfaceCalabi-Yau varietyArtin conjecturearithmetic model

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Brauer groups of schemes (14F22) Global ground fields in algebraic geometry (14G25)

Related Items (1)

On the Brauer group of an arithmetic model of strictly complete intersection in a hyperkähler variety over a number field

Cites Work

• Hasse principle for pencils of curves of genus one whose Jacobians have rational 2-division points
• A finiteness theorem for the Brauer group of abelian varieties and 𝐾3 surfaces
• On the Brauer group of an arithmetic scheme
• Descent on fibrations over the projective line
• Good reduction of the Brauer–Manin obstruction
• Number of Points of Varieties in Finite Fields
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