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On the Multiplicative Thom-Sebastiani Property for Bernstein-Sato Polynomials of Ideals
Abstract
We prove that the Bernstein-Sato polynomials of ideals satisfy the multiplicative Thom-Sebastiani property. This affirmatively settles a question of Shi and Zuo that extends a question independently formulated by Budur and Popa.
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BibTeX
@misc{xu2026multiplicative,
title = {{On the Multiplicative Thom-Sebastiani Property for Bernstein-Sato Polynomials of Ideals}},
author = {Yongxin Xu and Huaiqing Zuo},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.25576},
eprint = {2608.25576},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.25576},
}
RIS
TY - UNPB
TI - On the Multiplicative Thom-Sebastiani Property for Bernstein-Sato Polynomials of Ideals
AU - Yongxin Xu
AU - Huaiqing Zuo
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2608.25576
UR - https://arxiv.org/abs/2608.25576
AB - We prove that the Bernstein-Sato polynomials of ideals satisfy the multiplicative Thom-Sebastiani property. This affirmatively settles a question of Shi and Zuo that extends a question independently formulated by Budur and Popa.
ER -