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Projective manifolds whose tangent bundle contains a strictly nef subsheaf
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Projective manifolds whose tangent bundle contains a strictly nef subsheaf
classification
math.AG
math.CVmath.DG
keywords
projectivebundlecontainsisomorphicmanifoldstrictlysubsheaftangent
read the original 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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