Characterization of projective spaces and $mathbb{P}^r $-bundles as ample divisors
Résumé
Let X be a projective manifold of dimension n. Suppose that TX contains an ample subsheaf. We show that X is isomorphic to \mathbb{P}^n. As an application, we derive the classification of projective manifolds containing a P r-bundle as an ample divisor by the recent work of D. Litt.
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