Some Remarks on the Equations Defining Abelian Varieties.
Ryuji Sasaki (1981)
Mathematische Zeitschrift
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Ryuji Sasaki (1981)
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Alex Bartel (2015)
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We give some easy necessary and sufficient criteria for twists of abelian varieties by Artin representations to be simple.
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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.
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