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Crystallinity of rigid flat connections revisited

  • Hélène Esnault,
  • Michael Groechenig

摘要

We generalise a theorem on the existence of Frobenius isocrystal and Fontaine-Laffaille 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.