Bernstein-Sato多项式的张量性质
代数几何
2024-06-11 v2
摘要
我们证明了Bernstein-Sato多项式的乘法Thom-Sebastiani规则，回答了Budur和Popa长期存在的问题。我们将该结果推广到两个任意非奇异复簇乘积上两个有效除子的张量。这也引出了与Igusa强单值猜想相关的乘法性质。此外，我们提出了将我们的结果推广到理想的Bernstein-Sato多项式，并证明了单项式理想的情形。
引用
@article{arxiv.2406.04121,
title = {On the Tensor Property of Bernstein-Sato Polynomial},
author = {Quan Shi and Huaiqing Zuo},
journal= {arXiv preprint arXiv:2406.04121},
year = {2024}
}
备注
This is a paper finished at the beginning of January 2024. It was submitted to a journal on January 31, a week before the appearance of arXiv:2402.04512v2, which has some overlaps. Solutions in two papers are independent