Poincare series and zeta function for an irreducible plane curve singularity

Details Poincare series and zeta function for an irreducible plane curve singularity Poincare series and zeta function for an irreducible plane curve singularity

2003-10-15

arxiv.org/abs/math/0310215v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

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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