Crystalline Dieudonné theory over excellent schemes

Aise Johan De Jong; William Messing

Bulletin de la Société Mathématique de France (1999)

  • Volume: 127, Issue: 2, page 333-348
  • ISSN: 0037-9484

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De Jong, Aise Johan, and Messing, William. "Crystalline Dieudonné theory over excellent schemes." Bulletin de la Société Mathématique de France 127.2 (1999): 333-348. <http://eudml.org/doc/87809>.

@article{DeJong1999,
author = {De Jong, Aise Johan, Messing, William},
journal = {Bulletin de la Société Mathématique de France},
keywords = {crystalline Dieudonné module functor; characteristic ; -divisible groups; Barsotti-Tate group; crystalline cohomology},
language = {eng},
number = {2},
pages = {333-348},
publisher = {Société mathématique de France},
title = {Crystalline Dieudonné theory over excellent schemes},
url = {http://eudml.org/doc/87809},
volume = {127},
year = {1999},
}

TY - JOUR
AU - De Jong, Aise Johan
AU - Messing, William
TI - Crystalline Dieudonné theory over excellent schemes
JO - Bulletin de la Société Mathématique de France
PY - 1999
PB - Société mathématique de France
VL - 127
IS - 2
SP - 333
EP - 348
LA - eng
KW - crystalline Dieudonné module functor; characteristic ; -divisible groups; Barsotti-Tate group; crystalline cohomology
UR - http://eudml.org/doc/87809
ER -

References

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  1. [1] BERTHELOT (P.). — Cohomologie rigide et cohomologie rigide à support propre, version provisoire du 9-08-1991. 
  2. [2] BERTHELOT (P.), BREEN (L.), MESSING (W.). — Théorie de Dieudonné cristalline, II, Lecture Notes in Mathematics 930, Springer Verlag, 1982. Zbl0516.14015MR85k:14023
  3. [3] BERTHELOT (P.), MESSING (W.). — Théorie de Dieudonné cristalline, III, in The Grothendieck Festschrift I, Progress in Math. 86, Birkhäuser, 1990, p. 171-247. Zbl0753.14041MR92h:14012
  4. [4] DE JONG (A.J.). — Crystalline Dieudonné module theory via formal and rigid geometry, Publications Math., t. 82, 1995, p. 5-96. Zbl0864.14009MR97f:14047
  5. [5] DE JONG (A.J.). — Homomorphisms of Barsotti-Tate groups and crystals in positive characteristic, Invent. Math., t. 134, 1998. Zbl0929.14029MR2000f:14070a
  6. [6] KIMURA (T.), NIITSUMA (N.). — Regular local rings of characteristic p and p-basis, J. Math. Soc. Japan, t. 32, 1980, p. 363-371. Zbl0451.13010MR81j:13022
  7. [7] OORT (F.). — Commutative group schemes, Lecture Notes in Mathematics 15, Springer, 1966. Zbl0216.05603MR35 #4229
  8. [8] POPESCU (D.). — General Néron desingularization, Nagoya Math. J., t. 100, 1985, p. 97-126. Zbl0561.14008MR87f:13019
  9. [9] SWAN (R.G.). — Néron-Popescu desingularization, Lecture Notes of the University of Chicago, 1995; to appear in Proceedings of the International Conference on Algebra and Geometry, Taipei (Taiwan, 1995), p. 1-44. 
  10. [10] DEMAZURE (M.), GROTHENDIECK (A.). — SGA3, Schémas en groupes, I, Lecture Notes in Math. 151, Springer Verlag, 1970. Zbl0207.51401MR43 #223a

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