The multiplicity of generic normal surface singularities
J\'anos Nagy, Andr\'as N\'emethi
TL;DR
This paper presents a combinatorial and topological formula to compute the multiplicity of complex analytic normal surface singularities for generic structures, linking topology and algebraic geometry.
Contribution
It introduces a new formula connecting the multiplicity of surface singularities with their topological type in generic cases.
Findings
Derived a combinatorial/topological formula for multiplicity
Applicable to generic analytic structures on fixed topological types
Bridges topology and algebraic properties of singularities
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Geometric and Algebraic Topology