# Varieties with Ample Tangent Sheaves

## TL;DR

This paper proves that any normal projective variety over complex numbers with an ample tangent sheaf must be isomorphic to complex projective space, extending Mori's theorem.

## Contribution

It generalizes Mori's theorem from smooth projective manifolds to normal projective varieties with ample tangent sheaves.

## Key findings

- Normal projective varieties with ample tangent sheaf are isomorphic to complex projective space.
- Extends the classification of varieties with ample tangent bundles to a broader class.
- Confirms the uniqueness of projective space in this context.

## Abstract

This paper generalises Mori's famous theorem about "Projective manifolds with ample tangent bundles" to normal projective varieties in the following way: A normal projective variety over $\mathbb{C}$ with ample tangent sheaf is isomorphic to the complex projective space.