Fano n-folds with nef tangent bundle and Picard number greater than n-5

Abstract

We prove that Fano n-folds with nef tangent bundle and Picard number greater than n-5 are rational homogeneous manifolds.

arXiv comment14 pages

References in corpus (3)

• A survey on the Campana-Peternell Conjecture
• Fano manifolds whose elementary contractions are smooth ${\mathbb{P}}^1$-fibrations: A geometric characterization of flag varieties
• Fano 5-folds with nef tangent bundles

Cited by in corpus (2)

• Extremal rays and nefness of tangent bundles
• Smooth projective horospherical varieties with nef tangent bundles