Universal abelian covers of superisolated singularities

Abstract

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.

Some examples and explanations added; updated version. 23 pages

References in corpus (4)

• Seiberg--Witten invariants and surface singularities
• Complete intersection singularities of splice type as universal abelian covers
• The geometric genus of splice-quotient singularities
• Surgery formula for Seiberg--Witten invariants of negative definite plumbed 3-manifolds