Non-existence of negative derivations on the higher Nash blowup local algebra

Proceedings of the American Mathematical Society 2026 Open access

Read full text
Authors: Wágner Badilla-Céspedes, Abel Castorena, Daniel Duarte, Luis Núñez‐Betancourt
DOI: 10.1090/proc/17939
Cited by: 0

Abstract

Let $f\in\mathbb{C}[x_1,\ldots,x_s]$ be a weighted homogeneous polynomial having an isolated singularity and $\mathcal{T}_n(f)$ be its higher Nash blowup local algebra. We show that $\mathcal{T}_n(f)$ does not admit negative weighted derivations for $n\geq2$. This answers affirmatively a conjecture of Hussain-Ma-Yau-Zuo.

Fields of Study & Subjects

Advanced Topics in Algebra Matrix Theory and Algorithms Numerical methods for differential equations

Publication details

Journal / source
Proceedings of the American Mathematical Society
Publication date
13 September 2026
Language
EN