@article{RSMUP_1999__102__157_0,
author = {Gachet, F.},
title = {Structure fuchsienne pour des modules diff\'erentiels sur une polycouronne ultram\'etrique},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
volume = {102},
year = {1999},
pages = {157-218},
mrnumber = {1739539},
zbl = {0946.12001},
language = {fr},
url = {http://dml.mathdoc.fr/item/RSMUP_1999__102__157_0}
}
Gachet, F. Structure fuchsienne pour des modules différentiels sur une polycouronne ultramétrique. Rendiconti del Seminario Matematico della Università di Padova, Tome 102 (1999) pp. 157-218. http://gdmltest.u-ga.fr/item/RSMUP_1999__102__157_0/
[Ax] , Zeros of polynomials over local fields. The Galois action, J. Algebra, 15 (1970), pp. 417-428. | MR 263786 | Zbl 0216.04703
[BC] - , On Christol's theorem; A generalization to systems of PDE's with Logarithmic singularities depending upon parameters, Contemporary Mathematics, 133 (1992), pp. 1-24. | MR 1183967 | Zbl 0768.12006
[BGR] - - , Non-Archimedean analysis. A systematic approach to rigid analytic geometry, Grundlehren der Mathematischen Wissenschaften, 261, Springer-Verlag (1984). | MR 746961 | Zbl 0539.14017
[Bou] , Eléments de mathématiques; Livre II: Algèbre, Chapitres 4 à 7, Masson (1981).
[ChI] , Modules différentiels et équations différentielles p-adiques, Queen's Papers in Pure Math. 66, Kingston (1983). | MR 772749 | Zbl 0589.12020
[CMII] - , Sur le théorème de l'indice des équations différentielles p-adiques II, Ann. of Maths, 146 (1997), pp. 345-410. | MR 1477761 | Zbl 0929.12003
[CD] - , Modules différentiels sur des couronnes, Ann. Inst. Fourier, tome44, fasc. 3 (1994), pp. 663-701. | Numdam | MR 1303881 | Zbl 0859.12004
[CR] - , Equations différentielles p-adiques: application aux sommes exponentielles, Collection Hermann (1993), p. 248.
[Dw] , On exponents of p-adic differential modules, J. Reine Ang. Math. (Crelle), 484 (1997), pp. 85-126. | MR 1437300 | Zbl 0870.12008
[DGS] - - , An introduction to G-functions (vol. I), Princeton University Press (1994). | MR 1274045 | Zbl 0830.12004
[DR1] - , On ordinary linear p-adic differential equations, Trans. A.M.S., 231 (1977), pp. 1-46. | MR 447247 | Zbl 0375.34010
[DR2] - , Effective p-adic bounds for solutions of homogeneous linear differential equations, Trans. A.M.S., 259 (1980), pp. 559-577. | MR 567097 | Zbl 0439.12016
[Hô] , An introduction to complex analysis in several variables, North-Holland Mathematical Library, 2nd edition (1973). | MR 1045639 | Zbl 0685.32001
[Rb] , Prolongement analytique pour les fonctions de plusieurs variables sur un corps valué complet, Bull. S.M.F. 101 (1973), pp. 193-217. | Numdam | MR 352528 | Zbl 0272.32007
[VRo] , Non-archimedean functional analysis, M. Dekker (1978). | MR 512894 | Zbl 0396.46061