Birational geometry in the study of dynamics of automorphisms and Brody/Mori/Lang hyperbolicity
Algebraic Geometry
2018-06-20 v1 Complex Variables
Differential Geometry
Dynamical Systems
Abstract
We survey our recent papers (some being joint ones) about the relation between the geometry of a compact K\"ahler manifold and the existence of automorphisms of positive entropy on it. We also use the language of log minimal model program (LMMP) in biraitonal geometry, but not its more sophisticated technical part. We give applications of LMMP to positivity of log canonical divisor of a Mori / Brody / Lang hyperbolic (quasi-) projective (singular) variety.
Keywords
Cite
@article{arxiv.1308.2997,
title = {Birational geometry in the study of dynamics of automorphisms and Brody/Mori/Lang hyperbolicity},
author = {De-Qi Zhang},
journal= {arXiv preprint arXiv:1308.2997},
year = {2018}
}
Comments
submitted to the Proceedings of the Six International Congress of Chinese Mathematicians (ICCM2013), Taipei, July 2013