The strong monodromy conjecture for hyperplane arrangements

Lei Wu

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arXiv · 2605.25335

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 $\C^n$.

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Lei Wu. 2026-05-25. The strong monodromy conjecture for hyperplane arrangements. https://arxiv.org/abs/2605.25335

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