Modules différentiels non solubles. Rayons de convergence et indices

Emilie Pons

Rendiconti del Seminario Matematico della Università di Padova (2000)

  • Volume: 103, page 21-45
  • ISSN: 0041-8994

How to cite

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Pons, Emilie. "Modules différentiels non solubles. Rayons de convergence et indices." Rendiconti del Seminario Matematico della Università di Padova 103 (2000): 21-45. <http://eudml.org/doc/108523>.

@article{Pons2000,
author = {Pons, Emilie},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {fre},
pages = {21-45},
publisher = {Seminario Matematico of the University of Padua},
title = {Modules différentiels non solubles. Rayons de convergence et indices},
url = {http://eudml.org/doc/108523},
volume = {103},
year = {2000},
}

TY - JOUR
AU - Pons, Emilie
TI - Modules différentiels non solubles. Rayons de convergence et indices
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2000
PB - Seminario Matematico of the University of Padua
VL - 103
SP - 21
EP - 45
LA - fre
UR - http://eudml.org/doc/108523
ER -

References

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  1. [CH] G. Christol, Modules différentiels et équations différentielles p-adiques, Queen's papers in Pure and Applied mathematics66, Queen's University, Kingston (1983). Zbl0589.12020MR772749
  2. [CH-DW] G. Christol - B. Dwork, Modules différentiels sur des couronnes, Annales de l'Institut Fourier, 44 (1994), pp. 663-701. Zbl0859.12004MR1303881
  3. [CH-ME] G. Christol - Z. Mebkhout, Topological p-adic vector spaces and Index theory, Annales de Mathématiques de l'Institut Blaise Pascal, Vol. 2 (1995), pp. 93-98. Zbl0838.47054MR1342807
  4. [CH-ME III] G. Christol - Z. Mebkhout, Sur le théorème de l'indice des équations différentielles p-adiques III (à paraître). Zbl1078.12500
  5. [CH-RO] G. Christol - P. Robba, Equations différentielles p-adiques, applications aux sommes exponentielles, Collection Actualités, Hermann (1994). MR1411447
  6. [DW-RO] B. Dwork - P. Robba, On ordinary linear differential equations, T.A.M.S.231 (1977). Zbl0375.34010MR447247
  7. [DW-RO II] B. Dwork - P. Robba, Effectifs p-adic bounds for solutions of homogeneous linear differential equations, Trans A.M.S., 259 (1980), pp. 559-577. Zbl0439.12016MR567097
  8. [DW-GE-SU] B. Dwork - G. Gerotto - F.J. Sullivan, An Introduction to G-Functions, Annals of Mathematics Studies, Princeton University Press, Study 133. Zbl0830.12004MR1274045
  9. [Pons] E. Pons, Modules différentiels non solubles. Rayons de convergence et Indices, Thèse de doctorat de l'Université Pierre et Marie Curie. 
  10. [RO] P. Robba, Lemme de Hensel pour les opérateurs différentiels. Application à la réduction formelle des équations différentielles, L'Enseignement Mathématiques, t. XXVI, fascicule 3-4 (1980), pp. 279-311. Zbl0466.12014MR610528
  11. [RO I] P. Robba, On the Index of p - adic differential operators I, Annals of Mathematics, 101 (1975), pp. 280-316. Zbl0316.12102MR364243
  12. [RO II] P. Robba, On the Index of p - adic differential operators II, Duke Mathematical Journal, 43 (1976), pp. 19-31. Zbl0338.12108MR389910
  13. [RO III] P. Robba, On the Index of p — adic differential operators III, application to twisted exponential sums, Astérisque, 119-120 (1984), pp. 191-266. Zbl0548.12015MR773094
  14. [Young] P.T. Young, Radii of convergence and index for p-adic differential operators, T.A.M.S. 333, 2 (1992). Zbl0762.12005MR1066451

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