On uniformity conjectures for abelian varieties and K3 surfaces

DOI10.1353/ajm.2021.0043zbMath1486.14060arXiv1809.01440OpenAlexW2889566123WikidataQ123352609 ScholiaQ123352609MaRDI QIDQ5024328

Alexei N. Skorobogatov, Martin Orr, Yuri G. Zarhin

Publication date: 31 January 2022

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.01440

zbMATH Keywords

abelian variety\(K3\) surfaceBrauer groupendomorphism ringboundedness conjectures

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15) Brauer groups of schemes (14F22) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99)

Related Items (3)

Invariant Brauer group of an abelian variety ⋮ Igor Rostislavovich Shafarevich and his mathematical heritage ⋮ Boundedness of the p-primary torsion of the Brauer group of an abelian variety

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