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arXiv · 1310.5236

The Hodge group and endomorphism algebra of an Abelian variety

Mikhail Borovoi
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Abstract

This is an English translation of the author's 1981 note in Russian, published in a Yaroslavl collection. We prove that if an Abelian variety over C has no nontrivial endomorphisms, then its Hodge group is Q-simple.

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Mikhail Borovoi. 2013-10-19. The Hodge group and endomorphism algebra of an Abelian variety. https://arxiv.org/abs/1310.5236

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