8 problems

Let $X$ be the underlying space, let $\mathcal{M}$ be a regular holonomic $\mathscr{D}_X$-module, and let $\mathcal{N}_0$ be the associated module. For a monoid ideal…

Let $F=f_1,\dots,f_\ell$ be a tuple of elements of $\mathbb{C}\{x_1,\dots,x_d\}$, and let $B_F\subseteq\mathbb{C}[s_1,\dots,s_\ell]$ be its Bernstein–Sato ideal. A linear polynomia…

Let $B_F$ be the Bernstein–Sato ideal associated with the tuple $F$, and let $Z(B_F)\subseteq\mathbb C^r$ denote its zero locus. Budur's weak conjecture. Each irreducible component…

Let $F=(f_1,\ldots,f_r):X\rightarrow\mathbb{C}^r$ be a collection of non-invertible analytic functions on a complex manifold such that $f^{-1}(0)$ admits a finite Whitney stratific…

Let $F=(f_1, 3ellots,f_r)$, let $M\in\mathbb{N}^{p\times r}$ be non-zero, let ${\bf m}\in\mathbb{N}^p$, and let $F^M$ and the monomial maps $\phi_M$ be defined as in the source. Wr…

Let $F=(f_1, 3ellots,f_r)$, where each $f_j$ is a not necessarily reduced central hyperplane arrangement in $\mathbb{C}^n$ of degree $d_j$, and suppose that $\prod_{j=1}^rf_j$ is a…

Let $F=(f_1, 3ellots,f_r)$ be a collection of non-zero polynomials on $X=\mathbb{C}^n$, let $D=\bigcup_{j=1}^rV(f_j)$, and let $B_{F,x}$ denote the local Bernstein-Sato ideal at…

Let $F=(f_1,\ldots,f_r)$ be a collection of non-zero polynomials $f_j$ in $\mathbb{C}[x_1,\ldots,x_n]$, and let $B_F\subset\mathbb{C}[s_1,\ldots,s_r]$ be its Bernstein-Sato ideal,…