Equisingular Deformations of Legendrian Curves
We construct equisingular semiuniversal deformations of Legendrian curves.
math.AG↗
arXiv subjects
Publications and source records attributed to Marco Silva Mendes.
We construct equisingular semiuniversal deformations of Legendrian curves.
We construct a moduli space for Legendrian curves singularities which are contactomorphic-equivalent and equisingular through a contact analogue of the Kodaira-Spencer map for curve singularities. We focus on the specific case of Legendrian curves which are the conormal of a plane curve with one Puiseux pair.
We construct versal and equimultiple versal deformations of the parametrization of a Legendrian curve.