Abelian varieties, \(\ell\)-adic representations and Lie algebras. Rank independence on \(\ell\)

DOI10.1007/BF01390088zbMath0406.14026OpenAlexW1519918830MaRDI QIDQ5906182

Yuri G. Zarhin

Publication date: 1979

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186131

zbMATH Keywords

Lie AlgebrasAbelian VarietiesTate Module

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Arithmetic ground fields for abelian varieties (14K15) Simple, semisimple, reductive (super)algebras (17B20) Global ground fields in algebraic geometry (14G25)

Related Items (3)

On the \(\ell\)-adic Galois representations attached to nonsimple abelian varieties ⋮ Specialization of monodromy group and \(\ell \)-independence ⋮ Eigenvalues of Frobenius endomorphisms of abelian varieties of low dimension

Cites Work

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• Torsion of Abelian varieties of finite characteristic.
• Endomorphisms of Abelian varieties over finite fields
• Good reduction of abelian varieties
• Galois Action on Division Points of Abelian Varieties with Real Multiplications

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