A characterization of compact complex tori via automorphism groups

Abstract

We show that a compact Kaehler manifold X is a complex torus if both the continuous part and discrete part of some automorphism group G of X are infinite groups, unless X is bimeromorphic to a non-trivial G-equivariant fibration. Some applications to dynamics are given.

title changed, to appear in Math. Ann

Cited by in corpus (1)

• Birational geometry in the study of dynamics of automorphisms and Brody/Mori/Lang hyperbolicity