The auto-Igusa zeta function of a plane curve singularity is rational
Algebraic Geometry
2023-09-27 v2
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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Cite
@article{arxiv.1506.02316,
title = {The auto-Igusa zeta function of a plane curve singularity is rational},
author = {Andrew R. Stout},
journal= {arXiv preprint arXiv:1506.02316},
year = {2023}
}
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10 pages