Espaces de Berkovich et équations différentielles p -adiques. Une note

Bruno Chiarellotto

Rendiconti del Seminario Matematico della Università di Padova (2000)

  • Volume: 103, page 193-209
  • ISSN: 0041-8994

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Chiarellotto, Bruno. "Espaces de Berkovich et équations différentielles $p$-adiques. Une note." Rendiconti del Seminario Matematico della Università di Padova 103 (2000): 193-209. <http://eudml.org/doc/108520>.

@article{Chiarellotto2000,
author = {Chiarellotto, Bruno},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Berkovich spaces; -adic differential equation; overconvergent decomposition theorem; isocrystals},
language = {fre},
pages = {193-209},
publisher = {Seminario Matematico of the University of Padua},
title = {Espaces de Berkovich et équations différentielles $p$-adiques. Une note},
url = {http://eudml.org/doc/108520},
volume = {103},
year = {2000},
}

TY - JOUR
AU - Chiarellotto, Bruno
TI - Espaces de Berkovich et équations différentielles $p$-adiques. Une note
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2000
PB - Seminario Matematico of the University of Padua
VL - 103
SP - 193
EP - 209
LA - fre
KW - Berkovich spaces; -adic differential equation; overconvergent decomposition theorem; isocrystals
UR - http://eudml.org/doc/108520
ER -

References

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  1. [BC] F. Baldassarri - B. Chiarellotto, Algebraic versus rigid cohomology with logarithmic coefficients, in Barsotti Memorial Symposium, Perspectives in Math., vol. 15, Academic Press (1994), pp. 11-50. Zbl0833.14010MR1307391
  2. [BD] F. Baldassarri - L. Di Vizio, On arithmetic size of linear differential equations, A paraître. Zbl0998.12008
  3. [BE] V. Berkovich, Spectral theory and analytic geometry over non-archimedean fields, Math. Surveys and Monographs, Number 33, AMS1990. Zbl0715.14013MR1070709
  4. [B] P. Berthelot, Cohomologie rigide et cohomologie rigide à support propre, Pre publication, Rennes. Zbl0515.14015
  5. [BGR] S. Bosch - U. Guntzer - R. Remmert, Non archimedean analysis, Grundlehren der math. Wissenschaften261, Springer-Verlag1984. Zbl0539.14017MR746961
  6. [DR-RO] B. Dwork - PH. Robba, On ordinary linear differential equations, T.A.M.S., 231 (1977), pp. 1-46. Zbl0375.34010MR447247
  7. [P] E. Pons, Modules différentiels non solubles. Rayons de convergence et Indices, Dans ce volume. Zbl1006.12007
  8. [RO1] PH. Robba, On the index of p-adic differential operators I, Annals of Math., 101 (1975), pp.280-316. Zbl0316.12102MR364243

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