Torsion étale and crystalline cohomologies

Christophe Breuil, William Messing

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


Following our two courses at the Centre Émile Borel of the I.H.P. during the Semestre p-adique of 1997, we present a survey of the Fontaine-Laffaille and Fontaine-Messing theories and (with more details) of their extension by one of us to the semi-stable setting. We also very quickly discuss some ℓ-adic analogues of Nakayama. We take advantage to include a few proofs which are not in the literature and raise several remaining open questions.

Original languageEnglish (US)
Pages (from-to)81-124
Number of pages44
Issue number279
StatePublished - Dec 1 2002


  • Crystalline cohomology
  • Semi-stable reduction
  • Syntomic site
  • Étale cohomology


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