On overconvergent isocrystals and F -isocrystals of rank one

Bruno Chiarellotto; Gilles Christol

Compositio Mathematica (1996)

  • Volume: 100, Issue: 1, page 77-99
  • ISSN: 0010-437X

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Chiarellotto, Bruno, and Christol, Gilles. "On overconvergent isocrystals and $F$-isocrystals of rank one." Compositio Mathematica 100.1 (1996): 77-99. <http://eudml.org/doc/90423>.

@article{Chiarellotto1996,
author = {Chiarellotto, Bruno, Christol, Gilles},
journal = {Compositio Mathematica},
keywords = {crystals; -adic differential equations; Frobenius structure; overconvergent isocrystal},
language = {eng},
number = {1},
pages = {77-99},
publisher = {Kluwer Academic Publishers},
title = {On overconvergent isocrystals and $F$-isocrystals of rank one},
url = {http://eudml.org/doc/90423},
volume = {100},
year = {1996},
}

TY - JOUR
AU - Chiarellotto, Bruno
AU - Christol, Gilles
TI - On overconvergent isocrystals and $F$-isocrystals of rank one
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 100
IS - 1
SP - 77
EP - 99
LA - eng
KW - crystals; -adic differential equations; Frobenius structure; overconvergent isocrystal
UR - http://eudml.org/doc/90423
ER -

References

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  1. [Ba-Ct] Baldassarri, F. and Chiarellotto, B.: "Algebraic versus rigid cohomology with logarithmic coefficients" to appear in Proceedings of the Barsotti Memorial Symposium. Abano Terme (Padova) June 1991, Perspectives in Mathematics, Academic Press. Zbl0833.14010MR1307391
  2. [Be1] Berthelot, P.: "Cohomologie rigide et théorie de Dwork: le cas des sommes exponentielles", Astérisque119-120 (1984) 17-50. Zbl0577.14013MR773087
  3. [Be2] Berthelot, P.: "Cohomologie rigide et cohomologie rigide à support propre", to appear in Astérisque. MR773087
  4. [Be3] Berthelot, P.: "Géométrie rigide et cohomologie des variétés algébriques de caractéristiques p", Soc. Math. de France, 2e Série, Mémoires n.23 (1986) 7-32. Zbl0606.14017MR865810
  5. [Ch1] Christol, G.: "Modules différentiels et équations différentielles p-adiques". Queen's Papers in Pure and Applied Mathematics, n.66, Queen's University, Kingston (Ontario)1983. Zbl0589.12020MR772749
  6. [Ch2] Christol, G.: "Un théorème de transfert pour les disques singulier réguliers", Astérisque119-120 (1984) 151-168. Zbl0553.12014MR773091
  7. [Ch3] Christol, G.: "Fonctions et éléments algébriques", Pacific Journal of Math.125 (1986) 1-37. Zbl0591.12018
  8. [Ch4] Christol, G.: "Solutions algébriques des équations différentielles p-adiques", Sém. Delange-Pisot-Poitou 1981/82 (1983) 51-58. Zbl0525.12020MR729159
  9. [Ch5] Christol, G.: "Systèmes différentiels linéaires p-adiques: structure de Frobenius faible", Bull. Soc. Math. France109 (1981) 83-122. Zbl0459.12020MR613849
  10. [Dw1] Dwork, B.: "On p-adic differential equations II ", Annals of Math.98 (1973) 366-376. Zbl0304.14015MR572253
  11. [Dw2] Dwork, B.: "p-adic cycles", Pubbl. IHES37 (1969), 27-116. Zbl0284.14008MR294346
  12. [Fr-vdP] Fresnel, J. and van der Put, M.: "Géométrie analytique rigide et applications", Progress in Math.18, Birkhauser (1981). Zbl0479.14015MR644799
  13. [Ma] Matsuda, S.: "Local indices of p-adic differential equations corresponding to Artin-Schreier—Witt covering", Preprint 1993, Tokyo. Zbl0849.12013
  14. [Mo] Motzkin, E.: "Décomposition d'élément analytique en facteurs singuliers", Ann. Inst. Fourier 27 (1977) 67-82. Zbl0336.12010MR470247
  15. [Ra] Raynaud, M.: "Géométrie analytique rigide", Bull. Soc. Math. France, Mémoire 39-40 (1974) 319-327. Zbl0299.14003MR470254
  16. [Ro1] Robba, P.: "Indice d'un opérateur différentiel p-adique IV. Cas des systèmes", Ann. Inst. Fourier 35, 2 (1985) 13-55. Zbl0548.12016MR786533
  17. [Ro2] Robba, P.: "Une introduction naive aux cohomologies de Dwork", Soc. Math. de France, 2e Série, Mémoires n.23 (1986) 61-105. Zbl0623.14005MR865812

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