English

Varieties with Ample Tangent Sheaves

Algebraic Geometry 2017-11-15 v2

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 C\mathbb{C} with ample tangent sheaf is isomorphic to the complex projective space.

Keywords

Cite

@article{arxiv.1704.00218,
  title  = {Varieties with Ample Tangent Sheaves},
  author = {Philip Sieder},
  journal= {arXiv preprint arXiv:1704.00218},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T19:04:39.975Z