Fields medallists - 1986

Collection Fields medallists - 1986

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The category MF in the semistable case

By Gerd Faltings

Also appears in collections : Arithmetic geometry, representation theory and applications / Géométrie arithmétique, théorie des représentations et applications, The Fields Medallists

For smooth schemes the category $MF$ (defined by Fontaine for DVR's) realises the "mysterious functor", and provides natural systems of coeffients for crystalline cohomology. We generalise it to schemes with semistable singularities. The new technical features consist mainly of different methods in commutative algebra

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Citation data

  • DOI 10.24350/CIRM.V.18774003
  • Cite this video Faltings, Gerd (22/06/2015). The category MF in the semistable case. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18774003
  • URL https://dx.doi.org/10.24350/CIRM.V.18774003

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