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The multiplicity of abelian covers of splice quotient singularities
Author(s) -
Okuma Tomohiro
Publication year - 2015
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201010037
Subject(s) - mathematics , quotient , abelian group , multiplicity (mathematics) , gravitational singularity , splice , pure mathematics , discrete mathematics , combinatorics , mathematical analysis , biochemistry , chemistry , gene
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.