Universal abelian covers of surface singularities

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We discuss the evidence for and implications of a conjecture that the universal abelian cover of a Q-Gorenstein surface singularity with finite local homology (i.e., the singularity link is a Q-homology sphere) is a complete intersection singularity.
9 pages. To appear in "Trends in Singularities", Libgober, Tibar, eds. (Birkhaeuser Trends in Mathematics)

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