Théorie de Dieudonné cristalline et périodes p -adiques

Antoine Chambert-Loir

Bulletin de la Société Mathématique de France (1998)

  • Volume: 126, Issue: 4, page 545-562
  • ISSN: 0037-9484

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Chambert-Loir, Antoine. "Théorie de Dieudonné cristalline et périodes $p$-adiques." Bulletin de la Société Mathématique de France 126.4 (1998): 545-562. <http://eudml.org/doc/87794>.

@article{Chambert1998,
author = {Chambert-Loir, Antoine},
journal = {Bulletin de la Société Mathématique de France},
keywords = {crystalline Dieudonné theory; -adic periods; Barsotti-Tate groups},
language = {fre},
number = {4},
pages = {545-562},
publisher = {Société mathématique de France},
title = {Théorie de Dieudonné cristalline et périodes $p$-adiques},
url = {http://eudml.org/doc/87794},
volume = {126},
year = {1998},
}

TY - JOUR
AU - Chambert-Loir, Antoine
TI - Théorie de Dieudonné cristalline et périodes $p$-adiques
JO - Bulletin de la Société Mathématique de France
PY - 1998
PB - Société mathématique de France
VL - 126
IS - 4
SP - 545
EP - 562
LA - fre
KW - crystalline Dieudonné theory; -adic periods; Barsotti-Tate groups
UR - http://eudml.org/doc/87794
ER -

References

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  1. [1] BERTHELOT (P.). — Cohomologie cristalline des schémas de caractéristique p ˃ 0, Lect. Notes Math., t. 407, Springer Verlag, 1974. Zbl0298.14012MR52 #5676
  2. [2] BERTHELOT (P.), BREEN (L.), MESSING (W.). — Théorie de Dieudonné cristalline, II, Lect. Notes Math., Springer Verlag, t. 930, 1982. Zbl0516.14015MR85k:14023
  3. [3] CANDILERA (M.), CRISTANTE (V.). — Periods and duality of p-adic Barsotti-Tate groups, Ann. Scuola Norm. Sup. Pisa, t. 21, 1995, p. 545-593. Zbl0864.14030MR97d:14065
  4. [4] COLEMAN (R.F.). — Hodge-Tate periods and p-adic abelian integrals, Invent. Math., t. 78, 1984, p. 351-379. Zbl0572.14024MR87f:11040
  5. [5] COLMEZ (P.). — Périodes p-adiques des variétés abéliennes, Math. Ann., t. 292, 1992, p. 629-644. Zbl0793.14033MR93d:14062
  6. [6] COLMEZ (P.). — Périodes des variétés abéliennes à multiplication complexe, Ann. of Math., t. 138, 1993, p. 625-683. Zbl0826.14028MR96c:14035
  7. [7] CREW (R.). — Universal extensions and p-adic periods of elliptic curves, Compositio Math., t. 73, 1990, p. 107-119. Zbl0742.14013MR91k:11045
  8. [8] FALTINGS (G.). — Integral crystalline cohomology over very ramified rings, J. Amer. Math. Soc., à paraître. Zbl0914.14009
  9. [9] FALTINGS (G.). — Crystalline cohomology and p-adic Galois representations, in 'Algebraic analysis, Geometry and Number Theory', Proceedings of the JAMI Inaugural Conference (J.I. Igusa ed.), Johns Hopkins, 1990, p. 25-79. Zbl0805.14008
  10. [10] FONTAINE (J.-M.). — Formes différentielles et modules de Tate des variétés abéliennes sur les corps locaux, Invent. Math., t. 65, 1982, p. 379-409. Zbl0502.14015
  11. [11] FONTAINE (J.-M.). — Le corps des périodes p-adiques, dans 'Périodes p-adiques' [12], p. 59-101. 
  12. [12] FONTAINE (J.-M.). — Périodes p-adiques, Astérisque, J.-M. Fontaine éd., t. 223, Bures, 1988, 1994. Zbl0802.00019
  13. [13] DE JONG (A.J.). — Finite locally free group schemes in characteristic p and Dieudonné modules, Invent. Math., t. 114, 1993, p. 89-137. Zbl0812.14030MR94j:14043
  14. [14] MAZUR (B.), Messing (W.). — Universal extensions and one dimensional crystalline cohomology, Lect. Notes Math., Springer Verlag, t. 370, 1976. Zbl0301.14016MR51 #10350
  15. [15] TRIHAN (F.). — Théorie de Dieudonné cristalline de niveau variable. — Thèse de doctorat, Université de Rennes I, 1996. 
  16. [16] TSUJI (T.). — p-adic étale cohomology and crystalline cohomology in the semi-stable reduction case, Tech. report, R.I.M.S., Kyoto Univ., 1996. 
  17. [17] WINTENBERGER (J.-P.). — Théorème de comparaison p-adique pour les schémas abéliens, I: Construction de l'accouplement de périodes, dans 'Périodes p-adiques' [12], p. 349-397. Zbl0839.14038

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