$p$-adic approaches to unlikely intersections https://arxiv.org/abs/2504.10611 #mathNT #mathAG
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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