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arXiv:math/0310215 [math.AG]AbstractReferencesReviewsResources

Poincare series and zeta function for an irreducible plane curve singularity

Jan Stevens

Published 2003-10-15Version 1

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.

Comments: 7 pages
Categories: math.AG
Subjects: 14B05, 32S40
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