Boundedness results for periodic points on algebraic varieties
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
We prove that if f is a self-map of an algebraic variety over a field K, then under certain conditions on X, f and K the set of possible periods of K-valued periodic points of f is finite.
Cite
@article{arxiv.math/0212200,
title = {Boundedness results for periodic points on algebraic varieties},
author = {Najmuddin Fakhruddin},
journal= {arXiv preprint arXiv:math/0212200},
year = {2007}
}
Comments
We correct a wrong remark in the published version of this paper by showing how the results of that paper can be extended to certain birational maps