Fano manifolds with big tangent bundle: a characterisation of V₅

2021/10/14 by Andreas Höring, Jie Liu, Höring, Andreas +1
Mathematics · Social Sciences · #14E30 #14J40 #14J45 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Vietnamese History and Culture Studies

paper · pdf · doi:10.48550/arxiv.2110.07237

openalex publication_date 2021/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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