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math.AG2026
Lipschitz saturation of toric singularities in any dimension
François Bernard, Enrique Chávez-Martínez, 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…