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Multiplicative Thom-Sebastiani for Bernstein-Sato polynomials
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abstract
We show that if $f\in \mathcal{O}_X(X)$ and $g\in \mathcal{O}_Y(Y)$ are nonzero regular functions on smooth complex algebraic varieties $X$ and $Y$, then the Bernstein-Sato polynomial of the product function $fg \in \mathcal{O}_{X\times Y}(X \times Y)$ is given by $b_{fg}(s)=b_f(s)b_g(s)$, answering a question of Budur and Popa.
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Cited by 1 Pith paper
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A Hodge Theoretic generalization of $\mathbb{Q}$-Homology Manifolds I: General Case
The Hodge rational homology level HRH(Z) generalizes Q-homology manifolds and is characterized by local cohomology, link cohomology, and V-filtration conditions.
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