Varieties with Ample Tangent Sheaves

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.

6 pages, Result of my master thesis supervised by Prof. Dr. Thomas Peternell, revised with minor text improvements, a remark to Theorem 3.2 and a new reference in the introduction

References in corpus (1)

• Extension theorems for differential forms and Bogomolov-Sommese vanishing on log canonical varieties

Cited by in corpus (1)

• Special Kähler geometry and holomorphic Lagrangian fibrations