The p-adic zeta function of a plane curve singularity

2024/12/06 by Hoang, Huyen Trang, Lê, Quy Thuong, Nguyen, Hoang Long
#11S40 #11S80 #14H20 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14B05 #Secondary 52B05

paper · doi:10.48550/arxiv.2412.05470

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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