Poincare series and zeta function for an irreducible plane curve singularity

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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.
7 pages

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Algebraic Geometry, 14B05; 32S40

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http://salesiana.dossiersoluciones.com/handle/123456789/68855

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310215
 http://arxiv.org/abs/math/0310215

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arXiv