Toric Fano manifolds with nef tangent bundles

2015/06/18 by Qilin Yang, Yang, Qilin
Mathematics · #14J45 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #math.AG #msc:14J45

paper · pdf · doi:10.48550/arxiv.1506.05565

5 pages

arxiv created 2015/06/18 · openalex publication_date 2015/06/18 · arxiv updated 2015/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Gorenstein toric Fano varieties

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