On Beilinson’s equivalence for p-adic cohomology

• Tomoyuki Abe ^[1] ; Daniel Caro ^[2]
  1. [1] Kavli Institute for the Physics and Mathematics of the Universe (WPI)
  2. [2] Université de Caen
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 24, Nº. 2, 2018, págs. 591-608
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • In this short paper, we construct a unipotent nearby cycle functor and show a p-adic analogue of Beilinson’s equivalence comparing two derived categories: the derived category of holonomic arithmetic D -modules and the derived category of arithmetic D -modules whose cohomologies are holonomic.