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

2021/06/21 by Enrique Chávez-Martínez, Chávez-Martínez, Enrique
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Benford’s Law and Fraud Detection #Chaos-based Image/Signal Encryption #FOS: Mathematics #Numerical Methods and Algorithms #math.AG

paper · pdf · doi:10.48550/arxiv.2106.11206

openalex publication_date 2021/06/21 · openalex created_date 2021/07/05 · arxiv created 2021/08/16 · arxiv updated 2021/08/17 · openalex updated_date 2026/07/28

Abstract

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 the combinatorial description of these objects.

Citations

• A higher-order tangent map and a conjecture on the higher Nash blowup of curves

Related

• Classification of normal toric surfaces resolved by a single Nash blowup
• Nash blowups of normal toric surfaces: the case of one and two segments
• Resolving toric varieties with Nash blow-ups
• On a Computational Approach to the Nash Blowup Problem
• Higher Nash Blowups of A₃-Singularity