The topology of the normalization of complex surface germs

2020/05/11 by Françoise Michel, Michel, Françoise
Mathematics · #14B05 #32S15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #F.2.2 #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2005.05030

openalex publication_date 2020/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

If (X,0) is a complex surface germ with a non-isolated singular locus we describe its singular link L of (X,0) and we show that the topology of L determines the topology of the normalization.

Related

• The Topology of Surface Singularities
• Topological and bilipschitz types of complex surface singularities and their links
• Topology, geometry, and equations of normal surface singularities
• On certain complex surface singularities
• Quasi-ordinary surface germs from the topological viewpoint