Geometria Formal-analytic geometry in dimension 2 rançois Charles 24-03-2022 - 14:15 Largo San Leonardo Murialdo, 1
We will describe the geometry of so-called formal-analytic arithmetic surfaces, which are an arithmetic analogue of neighborhoods of curves embedded in complex surfaces. We will study those under some positivity assumptions, proving a simple inequality that will allow us to prove an algebraization theorem that generalizes a result of Calegari-Dimitrov-Tang, as well, as bounds on fundamental groups. This is joint work with Jean-Benoît Bost. |
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