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PreprintCC BY-NC-ND 4.0arXiv

A combinatorial criterion for detecting roots of Bernstein-Sato polynomials

  • Quan Shi
  • Huaiqing Zuo
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Abstract

We give a combinatorial criterion for detecting roots of Bernstein-Sato polynomials of ideals. As applications, we prove the strong monodromy conjecture for determinantal and Pfaffian ideals.

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Cite

BibTeXRIS
BibTeX
@misc{shi2026combinatorial,
  title = {{A combinatorial criterion for detecting roots of Bernstein-Sato polynomials}},
  author = {Quan Shi and Huaiqing Zuo},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.09982},
  eprint = {2610.09982},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.09982},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - A combinatorial criterion for detecting roots of Bernstein-Sato polynomials
AU  - Quan Shi
AU  - Huaiqing Zuo
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2610.09982
UR  - https://arxiv.org/abs/2610.09982
AB  - We give a combinatorial criterion for detecting roots of Bernstein-Sato polynomials of ideals. As applications, we prove the strong monodromy conjecture for determinantal and Pfaffian ideals.
ER  -