English

Poincar\'e series associated with surface singularities

Algebraic Geometry 2007-10-05 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0710.0987,
  title  = {Poincar\'e series associated with surface singularities},
  author = {András Némethi},
  journal= {arXiv preprint arXiv:0710.0987},
  year   = {2007}
}

Comments

24 pages

R2 v1 2026-06-21T09:26:40.733Z