Michael Maex

collaborators

3 papers

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.MG2025

A synthetic proof of the spherical and hyperbolic Pythagorean theorem on models in Euclidean and Minkowski space

MichaÃ«l Maex

There are multiple generalisations of the Pythagorean theorem to spherical and hyperbolic geometry. A natural one, involving areas of disks with radii equal to the sides of a prope…

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…