Crystallinity of rigid flat connections revisited

• Hélène Esnault ^[2] ; Michael Groechenig ^[1]
  1. [1] University of Toronto

     University of Toronto

     Canadá

     
  2. [2] Department of Mathematics, Germany
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 31, Nº. 1, 2025
• Idioma: inglés
• DOI: 10.1007/s00029-024-00995-7
• Enlaces
  • Texto completo
• Resumen

  • We generalise a theorem on the existence of Frobenius isocrystal and FontaineLaffaille module structures on rigid flat connections to the non-proper setting. The proof is based on a new strategy of a point-set topological flavour, which allows us to produce a purely p-adic statement and thereby to avoid the classical Simpson correspondence.

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