Analytic singularities supported by a specific integral homology sphere link

2017/11/09 by András Némethi, Némethi, András, Tomohiro Okuma +1 · 1 citation
Mathematics · #14B05 #14J17 #32S25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · doi:10.48550/arxiv.1711.03384

openalex publication_date 2017/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Rees algebras and p_g-ideals in a two-dimensional normal local domain

Cited by

• The multiplicity of generic normal surface singularities

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