Endomorphism Algebras and Automorphism Groups of certain Complex Tori

2022/12/20 by Yuri G. Zarhin, Zarhin, Yuri G.
Computer Science · Mathematics · #14J50 #32J18 #32J27 #32M05 #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2301.01573

openalex publication_date 2022/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the endomorphism algebra, the automorphism group and the Hodge group of complex tori of complex tori, whose second rational cohomology group enjoys a certain Hodge property introduced by F. Campana.

Related

• The Hodge group and endomorphism algebra of an Abelian variety
• Complex tori, theta groups and their Jordan properties
• Fixed points of endomorphisms on two-dimensional complex tori
• On Endomorphism of Algebraic Varieties
• Two results on the Hodge structure of complex tori