Fano manifolds with big tangent bundle: a characterisation of V5

• Höring, Andreas ^[1] ; Liu, Jie ^[2]
  1. [1] Institut Universitaire de France

     Institut Universitaire de France

     París, Francia

     
  2. [2] Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 74, Fasc. 3, 2023, págs. 639-686
• Idioma: inglés
• DOI: 10.1007/s13348-022-00368-3
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let X be a Fano manifold with Picard number one such that the tangent bundle TX 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.