Uniformisation des variétés abéliennes

Jean Fresnel; Marius van der Put

Annales de la Faculté des sciences de Toulouse : Mathématiques (1989)

  • Volume: S10, page 7-42
  • ISSN: 0240-2963

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Fresnel, Jean, and van der Put, Marius. "Uniformisation des variétés abéliennes." Annales de la Faculté des sciences de Toulouse : Mathématiques S10 (1989): 7-42. <http://eudml.org/doc/73244>.

@article{Fresnel1989,
author = {Fresnel, Jean, van der Put, Marius},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {curve with bad reduction; complete local field; uniformization of the Jacobian; uniformizations of abelian varieties},
language = {fre},
pages = {7-42},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Uniformisation des variétés abéliennes},
url = {http://eudml.org/doc/73244},
volume = {S10},
year = {1989},
}

TY - JOUR
AU - Fresnel, Jean
AU - van der Put, Marius
TI - Uniformisation des variétés abéliennes
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1989
PB - UNIVERSITE PAUL SABATIER
VL - S10
SP - 7
EP - 42
LA - fre
KW - curve with bad reduction; complete local field; uniformization of the Jacobian; uniformizations of abelian varieties
UR - http://eudml.org/doc/73244
ER -

References

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  1. [Bo, 1] S. Bosch. "Orthonormalbasen in der nichtarchimedischen Funktionentheorie". Manuscripta math1, 35-57 (1969). Zbl0164.21202MR269888
  2. [Bo, 2] S. Bosch. "Zür Kohomologietheorie rigid analytischer Raüme" Manuscripta math20, a-27 (1977). Zbl0343.14004MR508166
  3. [B, G, R] S. Bosch., U. Guntzer, R. Remmert. "Non-archimedean analysis". Springer-Verlag (1984). Zbl0539.14017MR746961
  4. [Bo-Lu, 1] S. Bosch, W. Lutkebohmert. "Stable reduction and uniformization of abelian varieties I". Math. Ann.270, 349-379 (1985). Zbl0554.14012MR774362
  5. [Bo, Lu, 2] S. Bosch, W. Lutkebohmert. "Stable reduction and uniformization of abelian varieties II ". Invent. math.78, 257-297 (1984). Zbl0554.14015MR767194
  6. [Fr, vdP, 1] J. Fresnel, M. van der PUT. "Géométrie analytique rigide et applications". Birkhäuser (1981). Zbl0479.14015MR644799
  7. [Fr, vdP, 2] J. Fresnel, M. van der PUT. "Localisation formelle et groupe de Picard". Ann. Inst. Fourrier33, 4, 19-82 (1983). Zbl0509.14032MR727522
  8. [Ge, vdP] L. Gerritzen, M. van der PUT. "Schottky groups and Mumford curves". LN817 (1980). Zbl0442.14009MR590243
  9. [Ge, Gr] L. Gerritzen, H. Grauert. "Die Azyklizität der affinoiden Uberdeckungen". Global analysis, Papers in Honor of K. Kodaira, 159-184. Princeton university press (1969). Zbl0197.17303MR255854
  10. [Ha] R. Hartshorne. "Algebraic geometry". Springer-Verlag (1977). Zbl0367.14001MR463157
  11. [He, vdP] E. Heinrich, M. van der PUT. "Uber die Picardgruppen affinoider Algebren". Math Z.186, 9-28 (1984). Zbl0543.14011MR735047
  12. [Ko] U. Kopf. "Uber eigentliche Familien algebraischer Varietäten über affinoiden Raümen. Schriftenreihe Math. inst. Univ. Münster, 2 serie, Heft 7 (1974). Zbl0275.14006MR422671
  13. [Mi, 1] J.S. Milne. "Abelian varieties". Arithmetic geometry edited by G. Cornell, J.H. Silverman, Springer-Verlag (1986). Zbl0604.14028MR861974
  14. [Mi,2] J.S. Milne ; "Jacobian varieties". Arithmetic geometry edited by G. Cornell, J.J. Silverman, Springer-Verlag (1986). Zbl0604.14018MR861976
  15. [Mu] D. Mumford. "Abelian varieties". Oxford university press (1974). 
  16. [vdP, 1] M. van der PUT. "The class group of a one-dimensional affinoid space". Ann. Inst. Fourier, 30, 4, 155-164 (1980). Zbl0426.14014MR599628
  17. [vdP, 2] M. van der PUT. "Etale coverings ofa Mumford curve". Ann. Inst. Fourier33, 129-52 (1983). Zbl0495.14017MR698848
  18. [vdP,3] M. van der PUT. "Stable reductions of algebraic curves". Proc. Nederl. Akad. Wetensch.A. 87 (4), 461-478 (1984). Zbl0588.14021MR770734
  19. [vdP,4] M. van der PUT. "A note on p-adic uniformization". Proc. Nederl. Akad. Wetensch.A. 90 (3), 313-318 (1987). Zbl0624.32018MR914089
  20. [vdP, Re] M. van der PUT, M. Reversat. "Construction analytique rigide de variétés abéliennes". A paraître. Bull. soc. math. France (1989). Zbl0715.14035MR1042431
  21. [Ra] M. Raynaud. "Variétés abéliennes et géométrie rigide". Actes, congrès intern. math.1970. Tome 1, 473-477. Zbl0223.14021MR427326

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