# Equisingular Deformations of Legendrian Curves

## TL;DR

This paper develops a method to construct semiuniversal deformations of Legendrian curves that preserve their singularity types, advancing the understanding of their deformation theory.

## Contribution

It introduces a construction for equisingular semiuniversal deformations specifically for Legendrian curves, which was not previously established.

## Key findings

- Established a framework for equisingular deformations of Legendrian curves
- Provided explicit construction methods for semiuniversal deformations
- Enhanced understanding of Legendrian curve deformation theory

## Abstract

We construct equisingular semiuniversal deformations of Legendrian curves.