Structure fuchsienne pour des modules différentiels sur une polycouronne ultramétrique

F. Gachet

Rendiconti del Seminario Matematico della Università di Padova (1999)

  • Volume: 102, page 157-218
  • ISSN: 0041-8994

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Gachet, F.. "Structure fuchsienne pour des modules différentiels sur une polycouronne ultramétrique." Rendiconti del Seminario Matematico della Università di Padova 102 (1999): 157-218. <http://eudml.org/doc/108500>.

@article{Gachet1999,
author = {Gachet, F.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {regular singularity; Fuchsian differential module; Hartogs theorem},
language = {fre},
pages = {157-218},
publisher = {Seminario Matematico of the University of Padua},
title = {Structure fuchsienne pour des modules différentiels sur une polycouronne ultramétrique},
url = {http://eudml.org/doc/108500},
volume = {102},
year = {1999},
}

TY - JOUR
AU - Gachet, F.
TI - Structure fuchsienne pour des modules différentiels sur une polycouronne ultramétrique
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1999
PB - Seminario Matematico of the University of Padua
VL - 102
SP - 157
EP - 218
LA - fre
KW - regular singularity; Fuchsian differential module; Hartogs theorem
UR - http://eudml.org/doc/108500
ER -

References

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  4. [Bou] Bourbaki, Eléments de mathématiques; Livre II: Algèbre, Chapitres 4 à 7, Masson (1981). 
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  7. [CD] G. Christol - B. Dwork, Modules différentiels sur des couronnes, Ann. Inst. Fourier, tome44, fasc. 3 (1994), pp. 663-701. Zbl0859.12004MR1303881
  8. [CR] G. Christol - P. Robba, Equations différentielles p-adiques: application aux sommes exponentielles, Collection Hermann (1993), p. 248. 
  9. [Dw] B. Dwork, On exponents of p-adic differential modules, J. Reine Ang. Math. (Crelle), 484 (1997), pp. 85-126. Zbl0870.12008MR1437300
  10. [DGS] B. Dwork - G. Gerotto - F. Sullivan, An introduction to G-functions (vol. I), Princeton University Press (1994). Zbl0830.12004MR1274045
  11. [DR1] B. Dwork - P. Robba, On ordinary linear p-adic differential equations, Trans. A.M.S., 231 (1977), pp. 1-46. Zbl0375.34010MR447247
  12. [DR2] B. Dwork - P. Robba, Effective p-adic bounds for solutions of homogeneous linear differential equations, Trans. A.M.S., 259 (1980), pp. 559-577. Zbl0439.12016MR567097
  13. [Hô] L. Hörmander, An introduction to complex analysis in several variables, North-Holland Mathematical Library, 2nd edition (1973). Zbl0685.32001MR1045639
  14. [Rb] P. Robba, Prolongement analytique pour les fonctions de plusieurs variables sur un corps valué complet, Bull. S.M.F.101 (1973), pp. 193-217. Zbl0272.32007MR352528
  15. [VRo] A.C.M. Van Rooij, Non-archimedean functional analysis, M. Dekker (1978). Zbl0396.46061MR512894

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