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arXiv · 2004.08507

Projective manifolds whose tangent bundle contains a strictly nef subsheaf

Jie Liu·Wenhao Ou·Xiaokui Yang
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Abstract

Suppose that $X$ is a projective manifold whose tangent bundle $T_X$ contains a locally free strictly nef subsheaf. We prove that $X$ is isomorphic to a projective bundle over a hyperbolic manifold. Moreover, if the fundamental group $\pi_1(X)$ is virtually abelian, then $X$ is isomorphic to a projective space.

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Jie Liu, Wenhao Ou, Xiaokui Yang. 2020-04-18. Projective manifolds whose tangent bundle contains a strictly nef subsheaf. https://arxiv.org/abs/2004.08507

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