vix.ing · top · new · best · stats · spec

The Intersection Structure of Bernstein-Sato Ideals

2025/09/11 by Wu, Lei
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.09113

Abstract

By using logarithmic \mathcal D-modules and Gröbner bases, we prove that Bernstein-Sato ideals satisfy some symmetric intersection property, answering a question posed by Budur. As an application, we obtain a formula for the Bernstein-Sato polynomials of fn, the integer powers of a multi-variable polynomial f.

Related