Prolongement de revêtements galoisiens en géométrie rigide

Marco A. Garuti

Compositio Mathematica (1996)

  • Volume: 104, Issue: 3, page 305-331
  • ISSN: 0010-437X

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Garuti, Marco A.. "Prolongement de revêtements galoisiens en géométrie rigide." Compositio Mathematica 104.3 (1996): 305-331. <http://eudml.org/doc/90492>.

@article{Garuti1996,
author = {Garuti, Marco A.},
journal = {Compositio Mathematica},
keywords = {Galois coverings of curves; algebraic fundamental group; rigid-analytic annulus; wild ramification; characteristic },
language = {fre},
number = {3},
pages = {305-331},
publisher = {Kluwer Academic Publishers},
title = {Prolongement de revêtements galoisiens en géométrie rigide},
url = {http://eudml.org/doc/90492},
volume = {104},
year = {1996},
}

TY - JOUR
AU - Garuti, Marco A.
TI - Prolongement de revêtements galoisiens en géométrie rigide
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 104
IS - 3
SP - 305
EP - 331
LA - fre
KW - Galois coverings of curves; algebraic fundamental group; rigid-analytic annulus; wild ramification; characteristic
UR - http://eudml.org/doc/90492
ER -

References

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  2. 2 Bosch, S., Güntzer, U. and Remmert, R.: Non-archimedean analysis, Grundlehren der Mathematischen Wissenschaften261, Springer, Heidelberg, 1984. Zbl0539.14017MR746961
  3. 3 Ferrand, D. and Raynaud, M.: Fibres formelles d'un anneau local noetherien, Annales Scientifiques de l'École Normale Supérieure, 4me série 3 (1970) 295-311. Zbl0204.36601MR272779
  4. 4 Gorenstein, D.: Finite groups, Chelsea, New York, 1980. Zbl0463.20012MR569209
  5. 5 Grothendieck, A.: Fondements de la Géométrie Algébrique, Séminaire Bourbaki (1957-62), Mathématique Paris, 1962. Zbl0239.14002MR146040
  6. 6 Grothendieck, A. (ed.): Revêtements étales et groupe fondamental, Lecture Notes in Math. 224, Springer, Heidelberg, 1971. Zbl0234.14002MR354651
  7. 7 Grothendieck, A. and Dieudonné, J.: Éléments de Géométrie Algébrique, Grundlehren der Mathematischen Wissenschaften166Springer, Heidelberg, 1971. Zbl0203.23301
  8. 8 Grothendieck A. and Dieudonné J.: Éléments de Géométrie Algébrique IV: Étude locale des schémas et des morphismes de schémas, Publications Mathématiques de l'I.H.E.S.20, 24, 28, 32. 
  9. 9 Harbater, D.: Formal patching and adding branch points, American Journal of Mathematics115 (1993) 487-508. Zbl0790.14027MR1221836
  10. 10 Lütkebohmert, W.: Riemann's existence problem for a p-adic field, Inventiones Mathematicae111 (1993) 309-330. Zbl0780.32005MR1198812
  11. 11 Oort, F.: Finite group schemes, local moduli for abelian varieties and lifting problems, Algebraic Geometry, Oslo 1970 (F. Oort, ed.), Wolters-Noordhoff, 1972, pp. 223-254. Zbl0239.14018
  12. 12 Raynaud, M.: Anneau locaux henséliens, Lecture Notes in Math. 169, Springer, Heidelberg, 1970. Zbl0203.05102MR277519
  13. 13 Raynaud, M.: Géométrie analytique rigide d'après Tate, Kiehl..., Mémoires de la Société Mathématique de France39-40 (1974) 319-327. Zbl0299.14003MR470254
  14. 14 Raynaud, M.: Revêtements de la droite affine en caractéristique p &gt; 0 et conjecture d'Abhyankar, Inventiones Mathematicae116 (1994) 425-462. Zbl0798.14013MR1253200
  15. 15 Roquette, P.: Abschützung der Automorphismenzahl von Funktionenkörpern bei Primzahlcharakteristik, Mathematische Zeitschrift117 (1970) 157-163. Zbl0194.35302MR279100
  16. 16 Sekiguchi, T., Oort, F. and Suwa, N.: On the deformations of Artin-Schreier to Kummer, Annales Scientifiques de l'École Normale Supérieure, 4me série 22 (1989) 345-375. Zbl0714.14024MR1011987
  17. 17 Serre, J.-P.: Groupes algébriques et corps de classes, Hermann, Paris, 1959. Zbl0097.35604
  18. 18 Serre, J.-P.: Cohomologie Galoisienne, Lecture Notes in Math. 5, Springer, Heidelberg, 1964. Zbl0259.12011
  19. 19 Serre, J.-P.: Corps Locaux, Hermann, Paris, 1968. Zbl0137.02601MR354618
  20. 20 Shatz, S.: Profinite groups, arithmetic and geometry, Annals of Math. Studies67, Princeton University Press, Princeton, 1972. Zbl0236.12002MR347778
  21. 21 Tate, J.: Rigid analytic spaces, Inventiones Mathematicae12 (1971) 257-289. Zbl0212.25601MR306196

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