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- W2022853242 abstract "Projective spaces and hyperquadrics are the simplest projective algebraic varieties, and they can be characterized in many ways. The aim of this paper is to provide a new characterization of them in terms of positivity properties of the tangent bundle (Theorem 1.1). The first result in this direction was Mori’s proof of the Hartshorne conjecture in [Mor79] (see also Siu and Yau [SY80]), that characterizes projective spaces as the only manifolds having ample tangent bundle. Then, in [Wah83], Wahl characterized projective spaces as the only manifolds whose tangent bundles contain ample invertible subsheaves. Interpolating Mori’s and Wahl’s results, Andreatta and Wiśniewski gave the following characterization:" @default.
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- W2022853242 date "2008-08-20" @default.
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- W2022853242 title "Cohomological characterizations of projective spaces and hyperquadrics" @default.
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- W2022853242 doi "https://doi.org/10.1007/s00222-008-0130-1" @default.
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