Universal Abelian Covers of Surface Singularities

By Walter D. Neumann, J. Wahl. 2001

57 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/eccce512046446ff551543bad65c68b43c4b2def

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In Algebra and Number Theory

In Geometry and Topology

Citations in the corpus

Seiberg-Witten invariants and surface singularities (2001, background): “…complete intersections, geometric genus, Seiberg–Witten invariants of Q–homology spheres, Reidemeister–Turaev torsion, Casson–Walker invariant Proposed: Walter Neumann Received: 11 January 2002 Seconded: Robion Kirby, Yasha Eliashberg Revised: 25 April 2002 c© Geometry & Topology Publications”
The geometric genus of splice-quotient singularities (2006, unknown): “Neumann and Wahl conjectured that if X is Q -Gorenstein, then Y is a complete intersection of “splice type” and the geometric genus p g ( X ) is a topological invariant.”
On the Casson Invariant Conjecture of Neumann–Wahl (2006, unknown): “In [18] they treated the case when the link is an integral homology sphere (the reader may consult in [16, 17, 19] the case of rational homology sphere links too).”
Complex surface singularities with integral homology sphere links (2003, unknown): “Thus the system of equations might be z21 + z 3 2 + z3z4 = 0 , z53 + z 2 4 + z1z 4 2 = 0 .”