Periodic points for good reduction maps on curves
Dynamical Systems
2007-05-23 v1 Algebraic Geometry
Number Theory
Abstract
The periodic points of a morphism of good reduction for a smooth projective curve with good reduction over the p-adics form a discrete set. This is used to give an interpretation of the morphic height in terms of asymptotic properties of periodic points, and a morphic analogue of Jensen's formula.
Cite
@article{arxiv.math/0307089,
title = {Periodic points for good reduction maps on curves},
author = {Manfred Einsiedler and Graham Everest and Thomas Ward},
journal= {arXiv preprint arXiv:math/0307089},
year = {2007}
}