Chinese Quarterly Journal of Mathematics ›› 2026, Vol. 41 ›› Issue (3): 263-268.doi: 10.13371/j.cnki.chin.q.j.m.2026.03.003

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A Note on Toric Fano Manifolds with Nef Tangent Bundles

  

  1. School of Mathematics, Sun Yat-sen University, 510275 Guangzhou, China
  • Received:2025-09-15 Online:2026-09-30 Published:2026-09-18
  • About author:YANG Qi-lin, male, associate professor of Sun Yat-sen University, engages in algebraic geometry and arithmetic geometry. 

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 holds for toric manifolds.

Key words:  Nef tangent bundle; , Toric variety; , Fano manifold; , Campana-Peternell conjecture

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