Abelian varieties over fields of finite characteristic

DOI10.2478/s11533-013-0370-1zbMath1296.11068arXiv1301.5594OpenAlexW3102130009MaRDI QIDQ2248483

Yuri G. Zarhin

Publication date: 26 June 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5594

zbMATH Keywords

Abelian varietiescomplex multiplicationisogeniesTate modulespoints of finite order

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Isogeny (14K02) Arithmetic ground fields for abelian varieties (14K15) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (8)

Geometric monodromy -- semisimplicity and maximality ⋮ Finiteness of Brauer groups of K3 surfaces in characteristic 2 ⋮ A mod \(p\) variant of the André-Oort conjecture ⋮ The section conjecture over large algebraic extensions of finitely generated fields ⋮ Endomorphism rings of reductions of elliptic curves and abelian varieties ⋮ On the arithmetic of abelian varieties ⋮ Non-communtative Iwasawa main conjecture ⋮ Galois groups of Mori trinomials and hyperelliptic curves with big monodromy

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