F -isocrystals and their monodromy groups

Richard Crew

Annales scientifiques de l'École Normale Supérieure (1992)

  • Volume: 25, Issue: 4, page 429-464
  • ISSN: 0012-9593

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Crew, Richard. "$F$-isocrystals and their monodromy groups." Annales scientifiques de l'École Normale Supérieure 25.4 (1992): 429-464. <http://eudml.org/doc/82324>.

@article{Crew1992,
author = {Crew, Richard},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {overconvergent -isocrystals; monodromy-groups; unit root crystals},
language = {eng},
number = {4},
pages = {429-464},
publisher = {Elsevier},
title = {$F$-isocrystals and their monodromy groups},
url = {http://eudml.org/doc/82324},
volume = {25},
year = {1992},
}

TY - JOUR
AU - Crew, Richard
TI - $F$-isocrystals and their monodromy groups
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1992
PB - Elsevier
VL - 25
IS - 4
SP - 429
EP - 464
LA - eng
KW - overconvergent -isocrystals; monodromy-groups; unit root crystals
UR - http://eudml.org/doc/82324
ER -

References

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  1. [1] P. BERTHELOT, Géométrie rigide et cohomologie des variétés algébriques de caractéristique p, Journées d'analyse p-adique (Luminy 1982), Mémoire de la S.M.F., n° 23, Suppl. Bull. S.M.F., Vol. 114, 1986, fasc. 2, pp. 7-32. Zbl0606.14017MR88a:14020
  2. [2] P. BERTHELOT, Cohomologie rigide et cohomologie rigide à support propre (to appear). Zbl0515.14015
  3. [3] P. BERTHELOT and W. MESSING, Théorie de Dieudonné cristalline III, Grothendieck Festschrift (to appear). Zbl0753.14041
  4. [4] R. CREW, Specialization of Crystalline Cohomology, Duke Math. J., Vol. 53, No. 3, 1986, pp. 749-757. Zbl0615.14010MR88a:14021
  5. [5] R. CREW, F-isocrystals and p-adic representations, in Algebraic Geometry-Bowdoin 1985, P.S.P.M., Vol. 46, Part 2, 1987, pp. 111-138. Zbl0639.14011MR89c:14024
  6. [6] P. DELIGNE, La conjecture de Weil II, Publ. Math. I.H.E.S., Vol. 52, 1980. Zbl0456.14014MR83c:14017
  7. [7] P. DELIGNE and J. S. MILNE, Tannakian categories, Lect. Notes Math., Vol. 900, Springer-Verlag, 1980. 
  8. [8] N. KATZ, p-Adic Properties of Modular Schemes and Modular Forms, in Lect. Notes Math., No. 350, Springer-Verlag, 1973. Zbl0271.10033MR56 #5434
  9. [9] N. KATZ, On the calculation of some differential galois groups, Inv. Math., Vol. 87, 1987, pp. 13-61. Zbl0609.12025MR88c:12010
  10. [10] N. KATZ and S. LANG, Finiteness Theorems in Geometric Class Field Theory, Ens. Math., Vol. 27, 1981, pp. 285-319. Zbl0495.14011MR83k:14012
  11. [11] Yu. MANIN, The Theory of Commutative Formal Groups Over Fields of Finite Characteristic, Russian Math. Surveys, Vol. 18, 1963, pp. 1-83. Zbl0128.15603MR28 #1200
  12. [12] A. OGUS, F-isocrystals and De Rham cohomology II-Convergent isocrystals, Duke Math. J., Vol. 51, 1984, pp. 765-850. Zbl0584.14008MR86j:14012
  13. [13] N. SAAVEDRA R., Catégories Tannakiennes, Lect. Notes Math., No. 265, Springer-Verlag, 1972. Zbl0241.14008MR49 #2769

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