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Toric Fano manifolds with nef tangent bundles

Algebraic Geometry 2015-06-19 v1

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.

Keywords

Cite

@article{arxiv.1506.05565,
  title  = {Toric Fano manifolds with nef tangent bundles},
  author = {Qilin Yang},
  journal= {arXiv preprint arXiv:1506.05565},
  year   = {2015}
}

Comments

5 pages