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.
Funding Statement
The first author's research is funded by the Vietnam National University, Hanoi (VNU) under project number QG.19.06.
Acknowledgments
The first author thanks the Vietnam Institute for Advanced Study in Mathematics (VIASM) for warm hospitality during his visit.
Citation
Quy Thuong Lê. Khanh Hung Nguyen. "Topological zeta functions of complex plane curve singularities." Osaka J. Math. 60 (2) 305 - 321, April 2023.
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