A Grunwald-Wang type theorem for abelian varieties

Brendan Creutz

Displaying similar documents to “A Grunwald-Wang type theorem for abelian varieties”

Simplicity of twists of abelian varieties

Alex Bartel (2015)

Acta Arithmetica

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We give some easy necessary and sufficient criteria for twists of abelian varieties by Artin representations to be simple.

Étale cohomology and reduction of abelian varieties

A. Silverberg, Yu. G. Zarhin (2001)

Bulletin de la Société Mathématique de France

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In this paper we study the étale cohomology groups associated to abelian varieties. We obtain necessary and sufficient conditions for an abelian variety to have semistable reduction (or purely additive reduction which becomes semistable over a quadratic extension) in terms of the action of the absolute inertia group on the étale cohomology groups with finite coefficients.

Real Abelian Varieties and the Theory of Comessatti.

Robert Silhol (1982)

Mathematische Zeitschrift

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Abelian varieties and Galois module structure in global function fields.

A. Agboola (1994)

Mathematische Zeitschrift

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Galois descent and cohomology for algebraic groups.

Guido Mislin, Eric M. Freidlander (1990)

Mathematische Zeitschrift

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A Note on the First Rigid Cohomology Group for Geometrically Unibranch Varieties

Nobuo TSUZUKI (2012)

Rendiconti del Seminario Matematico della Università di Padova

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Abelian varieties-Galois representation and properties of ordinary reduction

Rutger Noot (1995)

Compositio Mathematica

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Abelian varieties over fields of finite characteristic

Yuri Zarhin (2014)

Open Mathematics

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The aim of this paper is to extend our previous results about Galois action on the torsion points of abelian varieties to the case of (finitely generated) fields of characteristic 2.