From Differential Values to Roots of the Bernstein-Sato Polynomial
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929637525815296 |
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| author | Senovilla-Sanz, David |
| author_facet | Senovilla-Sanz, David |
| contents | 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 $n\leq 4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13740 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | From Differential Values to Roots of the Bernstein-Sato Polynomial Senovilla-Sanz, David Algebraic Geometry 14F10, 32S05, 32S10, 32S15 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 $n\leq 4$. |
| title | From Differential Values to Roots of the Bernstein-Sato Polynomial |
| topic | Algebraic Geometry 14F10, 32S05, 32S10, 32S15 |
| url | https://arxiv.org/abs/2412.13740 |