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POINCARÉ SERIES AND ZETA FUNCTION FOR AN IRREDUCIBLE PLANE CURVE SINGULARITY

Published online by Cambridge University Press:  01 June 2005

JAN STEVENS
JAN STEVENS
Affiliation:
Matematik, Chalmers tekniska högskola och Göteborgs universitet, SE 412 96 Göteborg, Swedenstevens@math.chalmers.se
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Abstract

The Poincaré series of an irreducible plane curve singularity equals the $\zeta$-function of its monodromy, by a result of Campillo, Delgado and Gusein-Zade. This fact is derived in this paper from a formula of Ebeling and Gusein-Zade, relating the Poincaré series of a quasi-homogeneous complete intersection singularity to the Saito dual of a product of $\zeta$-functions.

Keywords

32S40 (primary)14B05 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 3 , June 2005 , pp. 399 - 404
Copyright
© The London Mathematical Society 2005

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