Characterizing rational homogeneous spaces via {{\mathbb {C}}}^*-actions

• Occhetta, Gianluca ^[1] ; Solá Conde, Luis E. ^[1]
  1. [1] University of Trento

     University of Trento

     Trento, Italia

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 77, Fasc. 1, 2026, págs. 161-193
• Idioma: inglés
• DOI: 10.1007/s13348-024-00463-7
• Texto completo no disponible (Saber más ...)
• Resumen

  • We study smooth varieties of Picard number one admitting a special dominating family of rational curves and an equalized {{\mathbb {C}}}^*-action. In particular we show that X is a smooth variety of Picard number one with nef tangent bundle admitting an equalized {{\mathbb {C}}}^*-action with an isolated extremal fixed point if and only if X is an irreducible Hermitian symmetric space.

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