Aequisingularitaet von normalen Flaechensingularitaeten
Achim Hennings
TL;DR
This paper characterizes the equisingularity of families of normal surface singularities using numerical invariants, focusing on Whitney regularity and Nash modification conditions.
Contribution
It provides a description of equisingularity in terms of numerical invariants for normal surface singularities, linking Whitney regularity and Nash modification.
Findings
Equisingularity can be characterized by specific numerical invariants.
The paper relates Whitney regularity to Nash modification conditions.
Provides criteria for equisingularity in normal surface singularities.
Abstract
We give a description of the equisingularity of a family of normal surface singularities by numerical invariants belonging to them. By equisingularity we mean Whitney regularity or a more restrictive condition using the Nash modification.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Advanced Differential Equations and Dynamical Systems