# Deformation theory of holomorphic Cartan geometries

## TL;DR

This paper develops the deformation theory for holomorphic Cartan geometries, including computations of infinitesimal automorphisms and deformations, and proves the existence of a semi-universal deformation.

## Contribution

It introduces the deformation theory for holomorphic Cartan geometries and establishes the existence of semi-universal deformations.

## Key findings

- Computed infinitesimal automorphisms and deformations
- Proved existence of semi-universal deformation
- Laid groundwork for further deformation studies

## Abstract

Introducing the deformation theory of holomorphic Cartan geometries, we compute infinitesimal automorphisms and infinitesimal deformations. We also prove the existence of a semi-universal deformation of a holomorphic Cartan geometry.