English

Analytic singularities supported by a specific integral homology sphere link

Algebraic Geometry 2017-11-10 v1

Abstract

The main question we target is the following: If one fixes a topological type of a complex normal surface singularity then what are the possible analytic types supported by it, and/or, what are the possible values of the geometric genus? We answer the question for a specific (in some sense pathological) topological type, which supports rather different analytic structures. These structures are listed together with some of their key analytic invariants.

Keywords

Cite

@article{arxiv.1711.03384,
  title  = {Analytic singularities supported by a specific integral homology sphere link},
  author = {András Némethi and Tomohiro Okuma},
  journal= {arXiv preprint arXiv:1711.03384},
  year   = {2017}
}

Comments

16 pages

R2 v1 2026-06-22T22:41:01.282Z