Equidistribution of periodic points of some automorphisms on K3 surfaces
Number Theory
2011-02-25 v1 Dynamical Systems
Abstract
We say (W, \{\phi_1,..., \phi_t\}) is a polarizable dynamical system of several morphisms if \phi_i are endomorphisms on a projective variety such that \bigotimes \phi_i^*L is linearly equivalent to L^q} for some ample line bundle L on W and for some q>t. If q is a rational number, then we have the equidistribution of small points of given dynamical system because of Yuan's work. As its application, we can build a polarizable dynamical system of an automorphism and its inverse on surface and show its periodic points are equidistributed.
Keywords
Cite
@article{arxiv.1102.4860,
title = {Equidistribution of periodic points of some automorphisms on K3 surfaces},
author = {Chong Gyu Lee},
journal= {arXiv preprint arXiv:1102.4860},
year = {2011}
}