High rank torus actions on contact manifolds

• Gianluca Occhetta ^[1] ; Eleonora A. Romano ^[2] ; Luis E. Solá Conde ^[1] ; Jarosław A. Wisniewski ^[2]
  1. [1] University of Trento

     University of Trento

     Trento, Italia

     
  2. [2] Instytut Matematyki UW, Polonia
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 27, Nº. 1, 2021
• Idioma: inglés
• DOI: 10.1007/s00029-021-00621-w
• Enlaces
  • Texto completo
• Resumen

  • We prove LeBrun–Salamon conjecture in the following situation: if X is a contact Fano manifold of dimension 2n+1 whose group of automorphisms is reductive of rank ≥max(2,(n−3)/2) then X is the adjoint variety of a simple group. The rank assumption is fulfilled not only by the three series of classical linear groups but also by almost all the