Poincaré series associated with surface singularities

Details Poincaré series associated with surface singularities Poincaré series associated with surface singularities

2007-10-04

arxiv.org/abs/0710.0987v1

Mathematics

Algebraic Geometry

24 pages

Scientific paper

We unify and generalize formulas obtained by Campillo, Delgado and Gusein-Zade in their series of articles. Positive results are established for rational and minimally elliptic singularities. By examples and counterexamples we also try to find the `limits' of these identities. Connections with the Seiberg-Witten Invariant Conjecture and Semigroup Density Conjecture are discussed.

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