Michael Maex

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math.AG2026

The integral (log) cotangent complex of extensions of valued fields

MichaÃ«l Maex

Let $(L, v_{L}) / (K, v_{K})$ be a finite or purely transcendental extension of real valued fields. We construct the associated integral cotangent and log cotangent complexes in terms…

math.AG2025

Jumps of Jacobians via orthogonal canonical forms

Enis Kaya, MichaÃ«l Maex, Art Waeterschoot

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