The Hodge group and endomorphism algebra of an Abelian variety

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.

arXiv comment3 pages

Cited by in corpus (1)

• The Betti map associated to a section of an abelian scheme (with an appendix by Z. Gao)