Affordable Access

Cohomologically hyperbolic endomorphisms of complex manifolds

Authors
  • Zhang, De-Qi
Type
Preprint
Publication Date
May 27, 2008
Submission Date
May 27, 2008
Identifiers
arXiv ID: 0805.4140
Source
arXiv
License
Yellow
External links

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.

Report this publication

Statistics

Seen <100 times