Finite local monodromy of overconvergent unit-root F-isocrystals on a curve

American Journal of Mathematics

Volumn 120, Issue 6, 1998, Pages 1165-1190

  Tsuzuki, Nobuo ^a  

^a HIROSHIMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000333911     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.1998.0052     Document Type: Article

References (12)

1. P. Berthelot, Cohomologie rigide et théorie de Dwork: La cas des Sommes Exponentielles, Astérisque 119-120 (1984), 17-49.
2. R. Crew F-isocrystals and p-adic representations, Proc. Sympos. Pure Math., vol. 46, Amer. Math. Soc., Providence, RI, 1987, pp. 111-138.
3. M. Demazure, Lecture on p-divisible groups, Lecture Notes in Math., vol. 302, Springer-Verlag, New York, 1972.
4. J.-M. Fontaine, Représentation p-adiques des corps locaux, Grothendieck Festschrift II, Progr. Math., vol. 87, Birkhäuser, Boston, 1990, pp. 2490-309.
5. N. Katz, p-adic properties of modular schemes and modular forms, Lecture Notes in Math., vol. 350, Springer-Verlag, New York, 1973, pp. 69-190.
6. S. Matsuda, Local indices of p-adic differential operators corresponding to Artin-Schreier-Witt coverings, Duke Math. J. 77 (1995), 607-625.
7. P. Robba, Sur les équations differentielles linéaires p-adiques II, Pacific J. Math. 98 (1982), 393-418.
8. J.-P. Serre, Corps Locaux, Hermann, Paris, 1962.
9. _, Sur les groupes de Galois attachés aux groupes p-divisibles, Proc. of a Conf. on Local Fields, Springer-Verlag, New York, 1966, 118-131.
10. N. Tsuzuki, The overconvergence of morphisms of étale φ-∇-spaces on a local field, Compositio Math. 103 (1996), 227-239.
11. _, The local index and the Swan conductor, Compositio Math 111 (1998), 245-288.
12. _, Slope filtration of quasi-unipotent overconvergent F-isocrystals, Ann. Inst. Fourier, Grenoble (to appear).