论文标题

射击歧管,其切线包含一个严格的NEF子幕

Projective manifolds whose tangent bundle contains a strictly nef subsheaf

论文作者

Liu, Jie, Ou, Wenhao, Yang, Xiaokui

论文摘要

假设$ x $是一个投影歧管,其切线捆绑$ t_x $包含本地免费的严格nef子展。我们证明,$ x $是双曲线歧管上的投影捆绑包的同构。此外,如果基本组$π_1(x)$几乎是阿贝里安(Abelian),则$ x $对投射空间是同构的。

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 $π_1(X)$ is virtually abelian, then $X$ is isomorphic to a projective space.

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