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PreprintCC BY-NC-SA 4.0arXiv

The strong monodromy conjecture for hyperplane arrangements

  • Lei Wu
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Abstract

In this article, we prove the strong monodromy conjecture for complex hyperplane arrangements by proving a conjecture of Budur, Musta\c t\u a and Teitler that −n/d is a root of the b-function of an irreducible essential and central hyperplane arrangement f of degree d on ℂn.

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Cite

BibTeXRIS
BibTeX
@misc{wu2026strong,
  title = {{The strong monodromy conjecture for hyperplane arrangements}},
  author = {Lei Wu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.25335},
  eprint = {2605.25335},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.25335},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - The strong monodromy conjecture for hyperplane arrangements
AU  - Lei Wu
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2605.25335
UR  - https://arxiv.org/abs/2605.25335
AB  - In this article, we prove the strong monodromy conjecture for complex hyperplane arrangements by proving a conjecture of Budur, Musta\c t\u a and Teitler that −n/d is a root of the b-function of an irreducible essential and central hyperplane arrangement f of degree d on ℂ^n.
ER  -