The $p$-adic zeta function of a plane curve singularity
Algebraic Geometry
2024-12-10 v1
Abstract
Using toric modifications and some compatibility we compute the local -adic zeta function of a plane curve singularity. Thanks to the compatibility, we can work over the analytic change of variables formula for -adic integrals, hence avoid adapting to the algebraic setting and Denef's formula.
Keywords
Cite
@article{arxiv.2412.05470,
title = {The $p$-adic zeta function of a plane curve singularity},
author = {Huyen Trang Hoang and Quy Thuong Lê and Hoang Long Nguyen},
journal= {arXiv preprint arXiv:2412.05470},
year = {2024}
}
Comments
23 pages