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arXiv · 1506.02316

The auto-Igusa zeta function of a plane curve singularity is rational

Andrew R. Stout
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Abstract

It is shown that the auto Igusa zeta function of the germ of a plane curve singularity is rational. This gives a new criterion for a plane curve over an algebraically closed field of characteristic zero to be smooth at a point.

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Andrew R. Stout. 2015-06-07. The auto-Igusa zeta function of a plane curve singularity is rational. https://arxiv.org/abs/1506.02316

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