Polarized endomorphisms of complex normal varieties
Algebraic Geometry
2018-09-24 v2 Dynamical Systems
Abstract
It is shown that a complex normal projective variety has non-positive Kodaira dimension if it admits a non-isomorphic quasi-polarized endomorphism. The geometric structure of the variety is described by methods of equivariant lifting and fibrations. (For endomorphisms of projective spaces, see version 1).
Cite
@article{arxiv.0908.1688,
title = {Polarized endomorphisms of complex normal varieties},
author = {Noboru Nakayama and De-Qi Zhang},
journal= {arXiv preprint arXiv:0908.1688},
year = {2018}
}
Comments
Mathematische Annalen (to appear); no change; only shortened the paper by omitting the section on endomorphisms of projective space, which is still available in version 1