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arXiv · 2510.07607

The blow-up of a singularity at the module of derivations

Paul Barajas·Enrique Chávez-Martínez·Agustín Romano-Velázquez
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Abstract

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 surface singularities, i.e., a finite sequence of blow-ups along the module of derivations resolves the singularities of such varieties.

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Paul Barajas, Enrique Chávez-Martínez, Agustín Romano-Velázquez. 2025-10-08. The blow-up of a singularity at the module of derivations. https://arxiv.org/abs/2510.07607

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