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20212026
most citedFactorization of normalization of Nash blow-up of order n of An by the minimal resolution

1 citations · 1 across the 4 of their papers we have counts for

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5 papers

math.AG2026

Exceptional loci of F-blowups and -Hilbert schemes

Enrique Chávez-Martínez, Yutaro Kaijima, Takehiko Yasuda

We study exceptional loci of F-blowups of normal toric varieties. In the $\Q$-factorial case, this study amounts to studying the exceptional loci of -Hilbert schemes. We give a…

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.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.AG2023

F-blowups and essential divisors for toric varieties

Enrique Chávez-Martínez, Daniel Duarte, Takehiko Yasuda

We investigate the relation between essential divisors and F-blowups, in particular, address the problem whether all essential divisors appear on the -th F-blowup for large enou…

math.AG2021★ 1 cited

Factorization of normalization of Nash blow-up of order n of An by the minimal resolution

Enrique Chávez-Martínez

We show that the normalization of the Nash blow-up of order n of the toric surface singularity An can be factorized by the minimal resolution of An. The result is obtained using th…