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arXiv · 2412.13740

From Differential Values to Roots of the Bernstein-Sato Polynomial

David Senovilla-Sanz
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Abstract

Let $C$ be a cusp in $(\mathbb C^2,\mathbf 0)$ with Puiseux pair $(n,m)$. This paper is devoted to show how the semimodule of differential values of $C$ determines a subset of the roots of the Bernstein-Sato polynomial of $C$. We add more precise results when the multiplicity of the cusp is $n\leq 4$.

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David Senovilla-Sanz. 2024-12-18. From Differential Values to Roots of the Bernstein-Sato Polynomial. https://arxiv.org/abs/2412.13740

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