The Hodge group and endomorphism algebra of an Abelian variety
classification
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keywords
abeliangrouphodgevarietyalgebraauthorcollectionendomorphism
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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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