Topological zeta functions of complex plane curve singularities

2020/01/08 by Quy Thuong Lê, Lê, Quy Thuong, Khanh Hung Nguyen +1
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Algebraic Geometry and Number Theory #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.2001.02646

Abstract

We study topological zeta functions of complex plane curve singularities using toric modifications and further developments. As applications of the research method, we prove that the topological zeta function is a topological invariant for complex plane curve singularities, we give a short and new proof of the monodromy conjecture for plane curves.

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