Search arXiv⌕ Search

arXiv · 0710.0987

Poincaré series associated with surface singularities

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.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

András Némethi. 2007-10-04. Poincaré series associated with surface singularities. https://arxiv.org/abs/0710.0987

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Ax-Schanuel with derivatives for mixed period mappings

We prove the Ax-Schanuel property of the derivatives of mixed period mappings. We also prove the jet space reformulation of this result. The proofs use the Ax-Schanuel result for principal bundles with flat connections obtained by Blázquez-Sanz, Casale, Freitag, and Nagloo.

math.AG↗