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arXiv · 2406.04121

On the Tensor Property of Bernstein-Sato Polynomial

Quan Shi·Huaiqing Zuo
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Abstract

We prove the multiplicative Thom-Sebastiani rule for Bernstein-Sato polynomials, answering the longstanding questions of Budur and Popa. We generalize the result to the tensor of two effective divisors on the product of two arbitrary non-singular complex varieties. This also leads to a multiplicative property related to Igusa's strong monodromy conjecture. Moreover, we propose an extension of our result to Bernstein-Sato polynomials for ideals and prove it for monomial ideals.

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BibTeXRIS

Quan Shi, Huaiqing Zuo. 2026-09-14. On the Tensor Property of Bernstein-Sato Polynomial. https://arxiv.org/abs/2406.04121

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