On generic flag varieties for odd spin groups

• Karpenko, Nikita A. ^[1]
  1. [1] University of Alberta

     University of Alberta

     Canadá

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 67, Nº 0, 2023, págs. 743-756
• Idioma: inglés
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• Resumen

  • For the spin group G = Spin2n+1 with arbitrary n, a generic G-torsor E over a field, and a parabolic subgroup P ⊂ G, we consider the generic flag variety E/P and describe its Chow ring modulo torsion. This description determines the index of E/P, completing results of [3], where the index has been determined for most P.