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14b05 (secondary)

Bulletin of the London Mathematical Society (1)

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POINCARÉ SERIES AND ZETA FUNCTION FOR AN IRREDUCIBLE PLANE CURVE SINGULARITY
JAN STEVENS
Journal:

Bulletin of the London Mathematical Society / Volume 37 / Issue 3 / June 2005

Published online by Cambridge University Press:

01 June 2005, pp. 399-404

Print publication:

June 2005
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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.