Skip to main content
Article thumbnail
Location of Repository

Characteristic p analogue of modules with finite crystalline height.

By Victor Abrashkin


In the case of local fields of positive characateristic we introduce an analogue of Fontaine's concept of Galois modules with finite crystalline height h. If h=1 these modules appear as geometric points of Faltings's strict modules. We obtain upper estimates for the largest upper ramification numbers of these modules and prove that these estimates are sharp

Topics: Local fields, Ramification filtration, Crystalline representations, Anderson motives.
Publisher: International Press
Year: 2009
OAI identifier:

Suggested articles


  1. (1970). Etude infinitesimale des schemas en groupes, Schemas en Groupes I, Lecture notes doi
  2. (2006). Galois modules arising from Faltings’s strict modules, doi
  3. (2002). Group schemes with strict O-action,
  4. (1985). Il n’y a pas de variete abelienne sur
  5. (1989). Modular representations of the Galois group of a local field and a generalization of a conjecture of Shafarevich, doi
  6. (1990). Ramification in etale cohomology, doi
  7. (1990). Repre´sentations p-adiques des corps locaux.I., The Grothendieck Festschrift, Progr.Math., 87,
  8. (1989). Schemas propres et lisses sur Z,
  9. (1998). The ramification filtration of the Galois group of a local field. doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.