Topological zeta functions of complex plane curve singularities

Quy Thuong Lê; Khanh Hung Nguyen

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arXiv · 2001.02646

Topological zeta functions of complex plane curve singularities

Quy Thuong Lê·Khanh Hung Nguyen

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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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Quy Thuong Lê, Khanh Hung Nguyen. 2020-01-08. Topological zeta functions of complex plane curve singularities. https://arxiv.org/abs/2001.02646

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