p-Determinants and monodromy of differential operators

• Maxim Kontsevich ^[1] ; Alexander Odesskii ^[2]
  1. [1] Institut des Hautes Études Scientifiques

     Institut des Hautes Études Scientifiques

     Arrondissement de Palaiseau, Francia

     
  2. [2] Brock University

     Brock University

     Canadá

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 28, Nº. 3, 2022
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • We prove that p-determinants of a certain class of differential operators can be lifted to power series over Q. We compute these power series in terms of monodromy of the corresponding differential operators.