Fang-Han Xiang

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math.AG2026

Bernstein-Sato ideals for free hyperplane arrangements

Wenzong Guo, Lei Wu, Fanghan Xiang

Let $f = (f_{1}, \dots, f_{r})$ be a complete factorization of a central hyperplane arrangement $D$ in $X = C^{n}$ . For a monoid ideal $K \subseteq N^{r}$ we study the Bernstein…

math.AG2026

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

Wenzong Guo, Fanghan Xiang

Let $X$ be a smooth complex affine variety of dimension $n$ , and let $F = (f_{1}, \dots, f_{r})$ be a tuple of nonzero regular functions on $X$ such that $f := \prod_{i = 1}^{r} f_{i}$ is not inv…