Preperiodic points for rational functions defined over a rational function field of characteristic zero
Number Theory
2015-08-28 v2 Dynamical Systems
Abstract
Let be an algebraic closed field of characteristic zero. Let be the rational function field . Let be a non isotrivial rational function in . We prove a bound for the cardinality of the set of --rational preperiodic points for in terms of the number of places of bad reduction and the degree of .
Keywords
Cite
@article{arxiv.1505.07753,
title = {Preperiodic points for rational functions defined over a rational function field of characteristic zero},
author = {J. K. Canci},
journal= {arXiv preprint arXiv:1505.07753},
year = {2015}
}
Comments
There was a mistake in the previous version. The results have been proven only for rational function fields