3 papers
math.AG2026
Lipschitz saturation of toric singularities in any dimension
François Bernard, Enrique Chávez-MartÃnez, Arturo E. Giles Flores
We describe the semigroup of the Lipschitz saturation of a complex analytic toric singularity in arbitrary dimension. We give a necessary and sufficient condition for a monomial in…
math.AG2026
Formal splitting and stack-theoretic normal crossings desingularization
André Belotto da Silva, François Bernard, Edward Bierstone
We show that stack-theoretic resolution of singularities preserving normal crossings (partial desingularization) by weighted blowings-up, can be obtained in a simple direct way fro…
math.AG2025
Seminormal toric varieties
François Bernard, Antoine Boivin
In this paper, we provide a combinatorial description of seminormal toric varieties. The corresponding combinatorial object is a fan equipped with a collection of groups assigned t…