Factorization of the normalization of the Nash blowup of order $n$ of $\mathcal{A}_{n}$ by the minimal resolution

Enrique Chávez-Martínez

doi:10.4171/rmi/1421

Factorization of the normalization of the Nash blowup of order $n$ of $A_{n}$ by the minimal resolution

Enrique Chávez-Martínez
Universidad Nacional Autónoma de México, Cuernavaca, Mexico

$Factorization of the normalization of the Nash blowup of order $n$ of $\mathcal{A}_{n}$ by the minimal resolution cover$

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Abstract

We show that the normalization of the Nash blowup of order $n$ of the toric surface singularity $A_{n}$ can be factorized by the minimal resolution of $A_{n}$ . The result is obtained using the combinatorial description of these objects.

Cite this article

Enrique Chávez-Martínez, Factorization of the normalization of the Nash blowup of order $n$ of $A_{n}$ by the minimal resolution. Rev. Mat. Iberoam. 39 (2023), no. 4, pp. 1201–1232

DOI 10.4171/RMI/1421