The Intersection Structure of Bernstein-Sato Ideals
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915567378628608 |
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| author | Wu, Lei |
| author_facet | Wu, Lei |
| contents | By using logarithmic $\mathcal D$-modules and Gröbner bases, we prove that Bernstein-Sato ideals satisfy some symmetric intersection property, answering a question posed by Budur. As an application, we obtain a formula for the Bernstein-Sato polynomials of $f^n$, the integer powers of a multi-variable polynomial $f$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09113 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Intersection Structure of Bernstein-Sato Ideals Wu, Lei Commutative Algebra Algebraic Geometry By using logarithmic $\mathcal D$-modules and Gröbner bases, we prove that Bernstein-Sato ideals satisfy some symmetric intersection property, answering a question posed by Budur. As an application, we obtain a formula for the Bernstein-Sato polynomials of $f^n$, the integer powers of a multi-variable polynomial $f$. |
| title | The Intersection Structure of Bernstein-Sato Ideals |
| topic | Commutative Algebra Algebraic Geometry |
| url | https://arxiv.org/abs/2509.09113 |