The multiplicity of generic normal surface singularities

2020/05/21 by János Nagy, András Némethi, Nagy, János +1
Mathematics · #14J80 (Secondary) #32S05 #32S25 #32S50 (Primary) 14Bxx #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2005.10867

openalex publication_date 2020/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide combinatorial/topological formula for the multiplicity of a complex analytic normal surface singularity whenever the analytic structure on the fixed topological type is generic.

Citations

• Euler number of the compactified Jacobian and multiplicity of rational curves
• Analytic singularities supported by a specific integral homology sphere link

Related

• Analytic singularities supported by a specific integral homology sphere link
• Base points of natural line bundles on relatively generic surface singularities
• Invariants of relatively generic structures on normal surface\n singularities
• Topology, geometry, and equations of normal surface singularities
• Normal reduction numbers of normal surface singularities