2 papers
math.AG2026
Monge-Ampère measures on balanced polyhedral spaces
Ana MarÃa Botero, Enrica Mazzon, Léonard Pille-Schneider
We study classes of convex functions on balanced polyhedral spaces and establish various structural properties, including a compactness theorem for polyhedrally plurisubharmonic fu…
math.AG2025
Hybrid toric varieties and the non-archimedean SYZ fibration on Calabi-Yau hypersurfaces
Léonard Pille-Schneider
Using a construction by Yamamoto of tropical contractions, we construct a non-archimedean SYZ fibration on the Berkovich analytification of a class of maximally degenerate hypersur…