Toric Fano manifolds with nef tangent bundles

Abstract

In this note we prove that any toric Fano manifold with nef tangent bundle is a product of projective spaces. In particular, it implies that Campana-Peternell conjecture hold for toric manifolds.

5 pages

References in corpus (2)

• Gorenstein toric Fano varieties
• Complete toric varieties with reductive automorphism group