On Motivic Zeta Functions and Stringy E-function via Embedded $\mathbb{Q}$-Resolution
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916514649604096 |
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| author | Chen, Yifan Shi, Quan Zuo, Huaiqing |
| author_facet | Chen, Yifan Shi, Quan Zuo, Huaiqing |
| contents | We provide the formula of motivic zeta function for semi-quasihomogeneous singularities and in dimension two, we determine the poles of zeta functions. We also give another formula for stringy E-function using embedded $\mathbb{Q}$-resolution, and we utilize it to calculate the stringy E-function for semi-quasihomogeneous polynomials and non-degenerate polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06561 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Motivic Zeta Functions and Stringy E-function via Embedded $\mathbb{Q}$-Resolution Chen, Yifan Shi, Quan Zuo, Huaiqing Algebraic Geometry 14E18 14M25 32S25 We provide the formula of motivic zeta function for semi-quasihomogeneous singularities and in dimension two, we determine the poles of zeta functions. We also give another formula for stringy E-function using embedded $\mathbb{Q}$-resolution, and we utilize it to calculate the stringy E-function for semi-quasihomogeneous polynomials and non-degenerate polynomials. |
| title | On Motivic Zeta Functions and Stringy E-function via Embedded $\mathbb{Q}$-Resolution |
| topic | Algebraic Geometry 14E18 14M25 32S25 |
| url | https://arxiv.org/abs/2412.06561 |