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arXiv · 2412.05470

The $p$-adic zeta function of a plane curve singularity

Huyen Trang Hoang·Quy Thuong Lê·Hoang Long Nguyen
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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.

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Huyen Trang Hoang, Quy Thuong Lê, Hoang Long Nguyen. 2024-12-06. The $p$-adic zeta function of a plane curve singularity. https://arxiv.org/abs/2412.05470

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