A characterization of compact complex tori via automorphism groups
Algebraic Geometry
2018-09-24 v2 Dynamical Systems
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.
Cite
@article{arxiv.1205.0607,
title = {A characterization of compact complex tori via automorphism groups},
author = {Baohua Fu and De-Qi Zhang},
journal= {arXiv preprint arXiv:1205.0607},
year = {2018}
}
Comments
title changed, to appear in Math. Ann