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arXiv · 2509.09113

The Intersection Structure of Bernstein-Sato Ideals

Lei Wu
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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 $f^n$, the integer powers of a multi-variable polynomial $f$.

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Lei Wu. 2025-10-21. The Intersection Structure of Bernstein-Sato Ideals. https://arxiv.org/abs/2509.09113

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