Author

Fang-Han Xiang

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Preprint Sep 2026

Bernstein-Sato ideals for free hyperplane arrangements

Let $f=(f_1,\dots,f_r)$ be a complete factorization of a central hyperplane arrangement $D$ in $X=\mathbb{C}^n$. For a monoid ideal $K\subseteq \mathbb{N}^r$ we study the Bernstein-Sato ideal $B^K_f$ of $f$ along $K$, that is, the $\mathbb{C}[s]$-annihilator of $\mathcal{D}_X[s]f^s/\sum_{m\in K}\mathcal{D}_X[s]f^{s+m}$...

Wen-Zong Guo, Lei Wu, Fang-Han Xiang · 1 citation

Preprint Sep 2026

Bounds for Codimension-One Components of Zero Loci of Bernstein-Sato Ideals

Let $X$ be a smooth complex affine variety of dimension $n$, and let $F=(f_1,\ldots,f_r)$ be a tuple of nonzero regular functions on $X$ such that $f:=\prod_{i=1}^r f_i$ is not invertible. We study the zero loci of the Bernstein-Sato ideals $B_F^{\mathbf a}$ for nonnegative integral shifts $\mathbf a$. For a fixed log...

Wen-Zong Guo, Fang-Han Xiang · 1 citation