PreprintarXiv licencearXiv
Zero loci of Bernstein-Sato ideals are not necessarily linear
Abstract
We find a polynomial map the zero locus of whose Bernstein-Sato ideal is not linear, giving a counterexample to a conjecture of N. Budur.
Related
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- Bernstein--Sato ideals might not be linear
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- Bernstein-Sato polynomials of generic Pfaffian ideals
- A Polynomial PDE Criterion for the −n/d Root of the Bernstein-Sato polynomial of Homogeneous Ideals
BibTeX
@misc{shi2026zero,
title = {{Zero loci of Bernstein-Sato ideals are not necessarily linear}},
author = {Quan Shi and Yongxin Xu and Huaiqing Zuo},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.04408},
eprint = {2610.04408},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.04408},
}
RIS
TY - UNPB
TI - Zero loci of Bernstein-Sato ideals are not necessarily linear
AU - Quan Shi
AU - Yongxin Xu
AU - Huaiqing Zuo
PY - 2026
DA - 2026/10/03
PB - arXiv
DO - 10.48550/arxiv.2610.04408
UR - https://arxiv.org/abs/2610.04408
AB - We find a polynomial map the zero locus of whose Bernstein-Sato ideal is not linear, giving a counterexample to a conjecture of N. Budur.
ER -