Cohomologically hyperbolic endomorphisms of complex manifolds
Dynamical Systems
2018-09-24 v1 Algebraic Geometry
Abstract
We show that if a compact Kahler manifold X admits a cohomologically hyperbolic surjective endomorphism then its Kodaira dimension is non-positive. This gives an affirmative answer to a conjecture of Guedj in the holomorphic case. The main part of the paper is to determine the geometric structure and the fundamental groups (up to finite index) for those X of dimension 3.
Cite
@article{arxiv.0805.4140,
title = {Cohomologically hyperbolic endomorphisms of complex manifolds},
author = {De-Qi Zhang},
journal= {arXiv preprint arXiv:0805.4140},
year = {2018}
}
Comments
International Journal of Mathematics (to appear)