Universal abelian covers of superisolated singularities

Mathematics – Algebraic Geometry

Scientific paper

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Some examples and explanations added; updated version. 23 pages

Scientific paper

We give explicit examples of Gorenstein surface singularities with integral
homology sphere link, which are not complete intersections. Their existence was
shown by Luengo-Velasco, Melle-Hernandez and Nemethi, thereby providing
counterexamples to the Universal abelian covering conjecture of Neumann and
Wahl.

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