The Hodge group and endomorphism algebra of an Abelian variety

2013/10/19 by Mikhail Borovoi, Borovoi, Mikhail
Computer Science · Mathematics · #14K99 #20G30 #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1310.5236

openalex publication_date 2013/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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