Integral points for Drinfeld modules
Number Theory
2013-07-16 v1
Abstract
We prove that in the backward orbit of a non-preperiodic point under the action of a Drinfeld module of generic characteristic there exist at most finitely many points S-integral with respect to another nonpreperiodic point. This provides the answer (in positive characteristic) to a question raised by Sookdeo. We also prove that for each nontorsion point z, there exist at most finitely many torsion points which are S-integral with respect to z. This proves a question raised by Tucker and the author, and it gives the analogue of Ih's conjecture for Drinfeld modules.
Cite
@article{arxiv.1307.3747,
title = {Integral points for Drinfeld modules},
author = {Dragos Ghioca},
journal= {arXiv preprint arXiv:1307.3747},
year = {2013}
}