Poincare series and zeta function for an irreducible plane curve singularity
Algebraic Geometry
2007-05-23 v1
Abstract
The Poincare series of an irreducible plane curve singularity equals the zeta function of its monodromy, by a result of Campillo, Delgado and Gusein-Zade. We derive this fact from a formula of Ebeling and Gusein-Zade relating the Poincare series of a quasi-homogeneous complete intersection singularity to the Saito dual of a product of zeta functions.
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Cite
@article{arxiv.math/0310215,
title = {Poincare series and zeta function for an irreducible plane curve singularity},
author = {Jan Stevens},
journal= {arXiv preprint arXiv:math/0310215},
year = {2007}
}
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7 pages