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The multiplicity of abelian covers of splice quotient singularities
Authors:Tomohiro Okuma
Institution:Department of Mathematical Sciences, Yamagata University, Japan
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.
Keywords:Splice quotient singularity  abelian cover  multiplicity  Primary: 14B05  Secondary: 14J17  32S10  32S25
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