论文标题

复杂平面曲线奇点的拓扑zeta函数

Topological zeta functions of complex plane curve singularities

论文作者

Lê, Quy Thuong, Nguyen, Khanh Hung

论文摘要

我们研究复杂平面曲线奇异性的拓扑Zeta功能,并使用曲折的修改和进一步的发展。作为研究方法的应用,我们证明拓扑Zeta函数是复杂平面曲线奇点的拓扑不变,我们给出了平面曲线的单一构想猜想的简短和新证明。

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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