The $p$-adic zeta function of a plane curve singularity
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2024
- DOI:
- arXiv:
- arXiv:2412.05470
- Bibcode:
- 2024arXiv241205470T
- Keywords:
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- Mathematics - Algebraic Geometry;
- Primary 14B05;
- 14H20;
- 11S80;
- 11S40;
- Secondary 52B05
- E-Print:
- 23 pages