Vanishing theorems of Kodaira type for Witt canonical sheaves

• Hiromu Tanaka ^[1]
  1. [1] University of Tokyo

     University of Tokyo

     Japón

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 28, Nº. 1, 2022
• Idioma: inglés
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• Resumen

  • Given a smooth projective variety over a perfect field of positive characteristic, we prove that the higher cohomologies vanish for the tensor product of the Witt canonical sheaf and the Teichmüller lift of an ample invertible sheaf. We also give a generalisation of this vanishing theorem to one of Kawamata–Viehweg type.