Art Waeterschoot

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math.AG2025

Harmonic covers of skeleta

Art Waeterschoot

The geometry of a toroidal scheme over a DVR is encoded in a $Z$ -PL space known as the dual polyhedral complex. Any such dual complex is a skeleton, i.e. a nonarchimedean…

math.AG2023

Jumps of Jacobians via orthogonal canonical forms

Enis Kaya, Michaël Maex, Art Waeterschoot

Given a smooth, proper curve $C$ over a discretely valued field $k$ , we equip the $k$ -vector space $H^{0} (C, ω_{C / k})$ with a canonical discrete valuation $v_{can}$ which m…