Simple abelian varieties and primitive automorphisms of null entropy of surfaces
Algebraic Geometry
2014-12-16 v2
Abstract
We characterize simple complex abelian varieties and simple abelian surfaces in terms of primitivity of translation automorphisms. Applying this together with a result due to Diller and Favre, we then classify all primitive birational automorphisms with trivial first dynamical degree of smooth projective surfaces over an algebraically closed field of any characteristic.
Keywords
Cite
@article{arxiv.1412.2535,
title = {Simple abelian varieties and primitive automorphisms of null entropy of surfaces},
author = {Keiji Oguiso},
journal= {arXiv preprint arXiv:1412.2535},
year = {2014}
}
Comments
16pages, Proof of Theorem 1.4 is corrected and many typos are corrected