Endomorphism Algebras and Automorphism Groups of certain Complex Tori

TL;DR

This paper investigates the algebraic and group-theoretic structures of certain complex tori, focusing on their endomorphism algebras, automorphism groups, and Hodge groups, under a specific Hodge property.

Contribution

It introduces a detailed analysis of complex tori with a particular Hodge property, revealing new insights into their endomorphism and automorphism structures.

Findings

Characterization of endomorphism algebras for these tori

Description of automorphism groups under the Hodge property

Identification of the Hodge group structure for these tori

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.