# Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties

## TL;DR

This paper classifies subvarieties of smooth projective varieties that admit holomorphic locally homogeneous structures modeled on a homogeneous algebraic variety, identifying which subvarieties develop to the model.

## Contribution

It provides a complete characterization of subvarieties developing to the model in the context of holomorphic locally homogeneous structures on projective varieties.

## Key findings

- Identifies all subvarieties developing to the model.
- Provides criteria for development of subvarieties.
- Classifies structures on smooth projective varieties.

## Abstract

For any smooth projective variety with holomorphic locally homogeneous structure modelled on a homogeneous algebraic variety, we determine all the subvarieties of it which develop to the model.

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Source: https://tomesphere.com/paper/2302.13649