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Preprints, Working Papers, ... Year : 2020

Examples of Fano manifolds with non-pseudoeffective tangent bundle

Andreas Höring
Jie Liu
Feng Shao
  • Function : Author

Abstract

Let $X$ be a Fano manifold. While the properties of the anticanonical divisor $-K_X$ and its multiples have been studied by many authors, the positivity of the tangent bundle $T_X$ is much more elusive. We give a complete characterisation of the pseudoeffectivity of $T_X$ for del Pezzo surfaces, hypersurfaces in the projective space and del Pezzo threefolds.

Dates and versions

hal-02998483 , version 1 (10-11-2020)

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Andreas Höring, Jie Liu, Feng Shao. Examples of Fano manifolds with non-pseudoeffective tangent bundle. 2020. ⟨hal-02998483⟩
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