English

Splice diagrams and splice-quotient surface singularities

Algebraic Geometry 2022-02-02 v1

Abstract

The current work will appear in a Celebratio Mathematica volume in honor of Walter Neumann. We summarize results and methods from our long-time collaboration with Neumann, especially the motivation for the introduction of splice diagrams to define singularities of splice type and splice-quotient singularities. The Casson Invariant Conjecture and Milnor Fiber Conjectures are discussed, as well as some open questions about hypersurface and complete intersection singularities with integral homology sphere link.

Keywords

Cite

@article{arxiv.2202.00587,
  title  = {Splice diagrams and splice-quotient surface singularities},
  author = {Jonathan Wahl},
  journal= {arXiv preprint arXiv:2202.00587},
  year   = {2022}
}
R2 v1 2026-06-24T09:13:55.354Z