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arXiv · 2110.07237

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

Andreas Höring·Jie Liu
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Abstract

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.

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Andreas Höring, Jie Liu. 2021-10-14. Fano manifolds with big tangent bundle: a characterisation of $V_5$. https://arxiv.org/abs/2110.07237

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