$p$-adic approaches to unlikely intersections

Netan Dogra

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arXiv · 2504.10611

$p$-adic approaches to unlikely intersections

Netan Dogra

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Abstract

In this article we explain the Buium--Coleman approach to the Manin--Mumford conjecture, and outline its generalisations. As an illustration, we give a $p$-adic proof of a theorem of Bombieri, Masser and Zannier on curves in tori.

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Netan Dogra. 2025-04-14. $p$-adic approaches to unlikely intersections. https://arxiv.org/abs/2504.10611

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