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arXiv · 1711.08089

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

Luca Demangos
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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 $\mathbb{F}_{q}((1/T))^{n}$ to analogous subsets of $K^{n}$, where $K$ 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.

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Luca Demangos. 2017-11-22. A few remarks on a Manin-Mumford conjecture in function field arithmetic and generalized Pila-Wilkie estimates. https://arxiv.org/abs/1711.08089

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