The multiplicity of abelian covers of splice quotient singularities

Abstract

From a resolution graph with certain conditions, Neumann and Wahl constructed an equisingular family of surface singularities called splice quotients. For this class some fundamental analytic invariants have been computed from their resolution graph. In this paper we give a method to compute the multiplicity of an abelian covering of a splice quotient from its resolution graph and the Galois group.

13 pages. The second version was resubmitted to a journal on May 2, 2011

References in corpus (7)

• Complete intersection singularities of splice type as universal abelian covers
• The geometric genus of splice-quotient singularities
• Complex surface singularities with integral homology sphere links
• On the Casson Invariant Conjecture of Neumann--Wahl
• Universal abelian covers of certain surface singularities
• The cohomology of line bundles of splice-quotient singularities
• Geometry of splice-quotient singularities

Cited by in corpus (3)

• The multiplicity of generic normal surface singularities
• Local tropicalizations of splice type surface singularities
• Normal reduction numbers of normal surface singularities