3 papers
math.NT2025
The different for base change of arithmetic curves
Art Waeterschoot
We introduce a method for studying reduction types of arithmetic curves and wildly ramified base change. We give new proofs of earlier results of Lorenzini and Obus-Wewers, and res…
math.AG2025
Harmonic covers of skeleta
Art Waeterschoot
The geometry of a toroidal scheme over a DVR is encoded in a -PL space known as the dual polyhedral complex. Any such dual complex is a skeleton, i.e. a nonarchimedean…
math.AG2025
Jumps of Jacobians via orthogonal canonical forms
Enis Kaya, Michaël Maex, Art Waeterschoot
Given a smooth, proper curve over a discretely valued field , we equip the -vector space with a canonical discrete valuation which…