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arXiv · 1307.3747

Integral points for Drinfeld modules

Dragos Ghioca
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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.

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Dragos Ghioca. 2013-07-14. Integral points for Drinfeld modules. https://arxiv.org/abs/1307.3747

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