Transversal crystals of finite level

Bernard Le Stum; Adolfo Quirós

Annales de l'institut Fourier (1997)

  • Volume: 47, Issue: 1, page 69-100
  • ISSN: 0373-0956

Abstract

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We extend Ogus’notion of T -crystal and F -span to the context of Berthelot’s crystals of level m and we study the generalization of Ogus’theorem on the equivalence between T -crystals and F -spans of width less than p .

How to cite

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Le Stum, Bernard, and Quirós, Adolfo. "Transversal crystals of finite level." Annales de l'institut Fourier 47.1 (1997): 69-100. <http://eudml.org/doc/75232>.

@article{LeStum1997,
abstract = {We extend Ogus’notion of $T$-crystal and $F$-span to the context of Berthelot’s crystals of level $m$ and we study the generalization of Ogus’theorem on the equivalence between $T$-crystals and $F$-spans of width less than $p$.},
author = {Le Stum, Bernard, Quirós, Adolfo},
journal = {Annales de l'institut Fourier},
keywords = {Griffiths transversality; isogeny; filtered differential operator; Frobenius structure; crystals; span},
language = {eng},
number = {1},
pages = {69-100},
publisher = {Association des Annales de l'Institut Fourier},
title = {Transversal crystals of finite level},
url = {http://eudml.org/doc/75232},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Le Stum, Bernard
AU - Quirós, Adolfo
TI - Transversal crystals of finite level
JO - Annales de l'institut Fourier
PY - 1997
PB - Association des Annales de l'Institut Fourier
VL - 47
IS - 1
SP - 69
EP - 100
AB - We extend Ogus’notion of $T$-crystal and $F$-span to the context of Berthelot’s crystals of level $m$ and we study the generalization of Ogus’theorem on the equivalence between $T$-crystals and $F$-spans of width less than $p$.
LA - eng
KW - Griffiths transversality; isogeny; filtered differential operator; Frobenius structure; crystals; span
UR - http://eudml.org/doc/75232
ER -

References

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  1. [B1] P. BERTHELOT, Cohomologie cristalline des schémas de caractéristique p&gt;0, Lecture Notes in Math., 407, Springer Verlag (1974). Zbl0298.14012MR52 #5676
  2. [B2] P. BERTHELOT, Cohomologie rigide et théorie des D-modules, Proc. Conf. p-adic Analysis (Trento 1989), Lecture notes in Math., 1454, Springer-Verlag (1990). Zbl0722.14008
  3. [B3] P. BERTHELOT, Letter to Luc Illusie, 1990. 
  4. [B4] P. BERTHELOT, D-modules arithmétiques I : Opérateurs différentiels de niveau fini, Ann. Scient. Éc. Norm. Sup., 29, 4e série (1996), 185-272. Zbl0886.14004MR97b:14019
  5. [B5] P. BERTHELOT, D-modules arithmétiques II : Descente par Frobenius, work in progress. Zbl0948.14017
  6. [BO] P. BERTHELOT, A. OGUS, Notes on crystalline cohomology, Princeton University Press, 1978. Zbl0383.14010MR58 #10908
  7. [K] N. KATZ, Nilpotent connexions and the monodromy theorem : applications of a result of Turritin, Publ. Math. I.H.E.S, 39 (1970), 355-412. Zbl0221.14007
  8. [O1] A. OGUS, F-Crystals and Griffiths Transversality, Proc. Int. Symp. on Algebraic Geometry, Kyoto 1977 (1977), 15-44. Zbl0427.14007MR81i:14015
  9. [O2] A. OGUS, F-Crystals, Griffiths Transversality, and the Hodge decomposition, Astérisque, 221 (1994). Zbl0801.14004
  10. [Q] A. QUIRÓS, On the divisibility preperties of families of filtered F-crystals, Math. Ann., 288 (1990), 389-412. Zbl0692.14010MR92e:14015

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