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math.AG2025
The blow-up of a singularity at the module of derivations
Paul Barajas, Enrique Chávez-Martínez, Agustín Romano-Velázquez
We study the problem of resolving singularities via the blow-up of the module of derivations. Our main results are a positive answer for the case of curves and log-canonical surfac…
math.AG2021★ 1 cited
A Nobile-like theorem for jet schemes of hypersurfaces
Paul Barajas, Daniel Duarte
We prove that, for the jet scheme of a singular hypersurface, the blowup of a certain jet-related module is not an isomorphism. In conjunction with recent developments in the theor…