Fano manifolds with big tangent bundle: a characterisation of $V_5$

Andreas H\"oring; Jie Liu

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Fano manifolds with big tangent bundle: a characterisation of V₅

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arxiv 2110.07237 v1 pith:XQM5FBN6 submitted 2021-10-14 math.AG

Fano manifolds with big tangent bundle: a characterisation of V₅

Andreas H\"oring , Jie Liu This is my paper

classification math.AG

keywords bundlefanotangentadmitscharacterisationcurvedegreefive

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Let X be a Fano manifold with Picard number one such that the tangent bundle T_X is big. If X admits a rational curve with trivial normal bundle, we show that X is isomorphic to the del Pezzo threefold of degree five.

Fano manifolds with big tangent bundle: a characterisation of V₅

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