The Intersection Structure of Bernstein-Sato Ideals
Commutative Algebra
2025-10-22 v2 Algebraic Geometry
Abstract
By using logarithmic -modules and Gr\"obner 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 , the integer powers of a multi-variable polynomial .
Cite
@article{arxiv.2509.09113,
title = {The Intersection Structure of Bernstein-Sato Ideals},
author = {Lei Wu},
journal= {arXiv preprint arXiv:2509.09113},
year = {2025}
}
Comments
There is a critical issue about the proof of the main result, which makes the main result wrong