Good Reduction of Periodic Points
Number Theory
2010-03-15 v3 Dynamical Systems
Abstract
We consider the dynamical system created by iterating a morphism of a projective variety defined over the field of fractions of a discrete valuation ring. We study the primitive period of a periodic point in this field in relation to the primitive period of the reduced point in the residue field, the order of the action on the cotangent space, and the characteristic of the residue field.
Keywords
Cite
@article{arxiv.0801.3645,
title = {Good Reduction of Periodic Points},
author = {Benjamin Hutz},
journal= {arXiv preprint arXiv:0801.3645},
year = {2010}
}
Comments
to appear Illinois Journal of Math