The $p$-adic zeta function of a plane curve singularity
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912147751043072 |
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| author | Hoang, Huyen Trang Lê, Quy Thuong Nguyen, Hoang Long |
| author_facet | Hoang, Huyen Trang Lê, Quy Thuong Nguyen, Hoang Long |
| contents | Using toric modifications and some compatibility we compute the local $p$-adic zeta function of a plane curve singularity. Thanks to the compatibility, we can work over the analytic change of variables formula for $p$-adic integrals, hence avoid adapting to the algebraic setting and Denef's formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05470 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The $p$-adic zeta function of a plane curve singularity Hoang, Huyen Trang Lê, Quy Thuong Nguyen, Hoang Long Algebraic Geometry Primary 14B05, 14H20, 11S80, 11S40, Secondary 52B05 Using toric modifications and some compatibility we compute the local $p$-adic zeta function of a plane curve singularity. Thanks to the compatibility, we can work over the analytic change of variables formula for $p$-adic integrals, hence avoid adapting to the algebraic setting and Denef's formula. |
| title | The $p$-adic zeta function of a plane curve singularity |
| topic | Algebraic Geometry Primary 14B05, 14H20, 11S80, 11S40, Secondary 52B05 |
| url | https://arxiv.org/abs/2412.05470 |