Hodge classes on self-products of a variety with an automorphism
Chad Schoen (1988)
Compositio Mathematica
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Chad Schoen (1988)
Compositio Mathematica
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J. P. Murre (1973)
Compositio Mathematica
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J. H. Sampson (1982)
Compositio Mathematica
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Mark Green, Stefan Müller-Stach (1996)
Compositio Mathematica
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Samuel P. White (1993)
Compositio Mathematica
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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.
Tetsuji Shioda (1981)
Mathematische Annalen
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Elisabetta Colombo, Bert Van Geemen (1993)
Compositio Mathematica
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