Microlocal Versal Deformations of Plane Curves
Jo\~ao Cabral, Orlando Neto
TL;DR
This paper introduces the concept of microlocal versal deformation for plane curves and constructs equisingular versal deformations for Legendrian curves associated with semi-quasi-homogeneous branches.
Contribution
It presents a new framework for microlocal deformations and constructs specific versal deformations for Legendrian curves related to semi-quasi-homogeneous branches.
Findings
Defined microlocal versal deformation of plane curves
Constructed equisingular versal deformations for Legendrian curves
Applied to semi-quasi-homogeneous branches
Abstract
We introduce the notion of microlocal versal deformation of a plane curve. We construct equisingular versal deformations of Legendrian curves that are the conormal of a semi-quasi-homogeneous branch.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Numerical Analysis Techniques · Geometric Analysis and Curvature Flows