Moduli Spaces of Germs of Semiquasihomogeneous Legendrian Curves

Abstract

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.

arXiv admin note: text overlap with arXiv:1902.07701