Représentations cristallines et -cristaux : le cas d’un corps résiduel imparfait
Rendiconti del Seminario Matematico della Università di Padova (2008)
- Volume: 119, page 141-171
- ISSN: 0041-8994
Access Full Article
topHow to cite
topBrinon, Olivier, and Trihan, Fabien. "Représentations cristallines et $F$-cristaux : le cas d’un corps résiduel imparfait." Rendiconti del Seminario Matematico della Università di Padova 119 (2008): 141-171. <http://eudml.org/doc/108732>.
@article{Brinon2008,
author = {Brinon, Olivier, Trihan, Fabien},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {-adic Hodge theory; crystalline representation; Breuil-Kisin module; -divisible group},
language = {fre},
pages = {141-171},
publisher = {Seminario Matematico of the University of Padua},
title = {Représentations cristallines et $F$-cristaux : le cas d’un corps résiduel imparfait},
url = {http://eudml.org/doc/108732},
volume = {119},
year = {2008},
}
TY - JOUR
AU - Brinon, Olivier
AU - Trihan, Fabien
TI - Représentations cristallines et $F$-cristaux : le cas d’un corps résiduel imparfait
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2008
PB - Seminario Matematico of the University of Padua
VL - 119
SP - 141
EP - 171
LA - fre
KW - -adic Hodge theory; crystalline representation; Breuil-Kisin module; -divisible group
UR - http://eudml.org/doc/108732
ER -
References
top- [1] P. BERTHELOT, Théorie de Dieudonné sur un anneau de valuation parfait, Annales Scientifiques de l'ENS 4ème série, t. 13, pp. 225-268, Gauthier-Villars (1980). Zbl0441.14012MR584086
- [2] P. BERTHELOT - L. BREEN - W. MESSING, Théorie de Dieudonné cristalline II, Lecture Notes in Mathematics 930, x+261, Springer-Verlag (1982). Zbl0516.14015MR667344
- [3] P. BERTHELOT - W. MESSING, Théorie de Dieudonné cristalline III. Théorèmes d'équivalence et de pleine fidélité, The Grothendieck Festschrift, Vol. I, p. 173-247, Progress in Mathematics, 86, Birkhäuser (1990). Zbl0753.14041MR1086886
- [4] C. BREUIL, Représentations p-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, no. 2 (1997), pp. 191-224. Zbl0883.11049MR1428871
- [5] C. BREUIL, Schémas en groupes et corps des normes (non publié) 13p, (1998).
- [6] C. BREUIL, Groupes p-divisibles, groupes finis et modules filtrés, Ann. Math. (2) 152, no. 2 (2000), pp. 489-549. Zbl1042.14018MR1804530
- [7] O. BRINON, Représentations cristallines dans le cas d'un corps residuel imparfait, Annales de l'Institut Fourier, 56, no. 4 (2006), pp. 919-999. Zbl1168.11051MR2266883
- [8] A.J. DE JONG, Crystalline Dieudonné module theory via formal and rigid geometry, Publ. Math. de l'IHES, 82 (1995), pp. 5-96. Zbl0864.14009MR1383213
- [9] A.J. DE JONG, Homomorphisms of Barsotti-Tate groups and crystals in positive characteristic, Invent. Math., 134, no. 2, Springer Verlag (1998), pp. 301-333. Zbl0929.14029MR1650324
- [10] G. FALTINGS, Integral crystalline cohomology over very ramified valuation rings, JAMS, 12, no. 1 (1999), pp. 117-144. Zbl0914.14009MR1618483
- [11] O. HYODO, On variation of Hodge-Tate structures, Math. Ann. 284, no. 1 (1989), pp. 7-22. Zbl0645.14002MR995378
- [12] N. KATZ, Slope filtration of F-crystals, Journées de Géométrie Algébrique de Rennes (Rennes, 1978), Vol. I, Astérisque 63, SMF (1979), pp. 113-163. Zbl0426.14007MR563463
- [13] K. KEDLAYA, A p-adic local monodromy theorem, Ann. of Math., 160 no. 1 (2004), pp. 93-184. Zbl1088.14005MR2119719
- [14] K. KEDLAYA, Slope filtrations revisited, Doc. Math., 10 (2005), pp. 447-525. Zbl1081.14028MR2184462
- [15] M. KISIN, Crystalline representations and F-crystals, in Algebraic Geometry and Number Theory, in Honor of Vladimir Drinfeld's 50th Birthday, Progress in Math. 253, Birkhäuser, (2006). Zbl1184.11052MR2263197
- [16] H. MATSUMURA, Commutative ring theory, xiii+320, Cambridge university Press, (1986). Zbl0603.13001MR879273
- [17] B. MAZUR, W. MESSING, Universal extensions and one dimensional crystalline cohomology, Lecture notes in Mathematics 370, vi+134, Springer Verlag, (1974). Zbl0301.14016MR374150
- [18] W. MESSING, Crystals associated to Barsotti-Tate groups : with applications to abelian schemes, Lecture notes in Mathematics 264, Springer Verlag (1972), p. 190. Zbl0243.14013MR347836
- [19] J. TATE, p-divisible groups, Proceedings of a conference on local fields, Springer Verlag (1967), pp. 158-183. Zbl0157.27601MR231827
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.