English

A few remarks on a Manin-Mumford conjecture in function field arithmetic and generalized Pila-Wilkie estimates

Number Theory 2018-03-22 v1

Abstract

We present here the natural extension of our Pila-Wilkie type estimates on the number of rational points of the trascendent part of a compact analytic subset of Fq((1/T))n\mathbb{F}_{q}((1/T))^{n} to analogous subsets of KnK^{n}, where KK is a general local field of any characteristic. That would integrate the analogous estimate provided by F. Loeser, G. Comte and R. Cluckers in characteristic 0.

Keywords

Cite

@article{arxiv.1711.08089,
  title  = {A few remarks on a Manin-Mumford conjecture in function field arithmetic and generalized Pila-Wilkie estimates},
  author = {Luca Demangos},
  journal= {arXiv preprint arXiv:1711.08089},
  year   = {2018}
}