Groupes de Picard et problèmes de Skolem. II

Laurent Moret-Bailly

Annales scientifiques de l'École Normale Supérieure (1989)

  • Volume: 22, Issue: 2, page 181-194
  • ISSN: 0012-9593

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Moret-Bailly, Laurent. "Groupes de Picard et problèmes de Skolem. II." Annales scientifiques de l'École Normale Supérieure 22.2 (1989): 181-194. <http://eudml.org/doc/82251>.

@article{Moret1989,
author = {Moret-Bailly, Laurent},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Skolem problems; solution of system of diophantine equations; ring of algebraic numbers; rational points},
language = {fre},
number = {2},
pages = {181-194},
publisher = {Elsevier},
title = {Groupes de Picard et problèmes de Skolem. II},
url = {http://eudml.org/doc/82251},
volume = {22},
year = {1989},
}

TY - JOUR
AU - Moret-Bailly, Laurent
TI - Groupes de Picard et problèmes de Skolem. II
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1989
PB - Elsevier
VL - 22
IS - 2
SP - 181
EP - 194
LA - fre
KW - Skolem problems; solution of system of diophantine equations; ring of algebraic numbers; rational points
UR - http://eudml.org/doc/82251
ER -

References

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  1. EGA A. GROTHENDIECK et J. DIEUDONNÉ, Éléments de géométrie algébrique, chap. 1, Springer, coll. Grundlehren ; chap. II, III, IV (Pub. Math. I.H.E.S., n° 8, 11, 17, 20, 24, 28, 32). 
  2. SGA Séminaire de géométrie algébrique du Bois-Marie (Lecture Notes in Math., Springer). 
  3. [A] M. ARTIN, Versal Deformations and Algebraic Stacks (Inv. Math., vol. 27, 1974, p. 165-189). Zbl0317.14001MR53 #2945
  4. [A-K] A. B. ALTMAN et S. L. KLEIMAN, Compactifying the Picard scheme I, II (Advances in Math., vol. 35, n° 1, 1980, p. 50-112 ; Amer. J. Math., vol. 101, n° 1, 1979, p. 10-41). Zbl0427.14016
  5. [C-R] D. CANTOR et P. ROQUETTE, On Diophantine Equations Over the Ring of all Algebraic Integers (J. Number Theory, vol. 18, 1984, p. 1-26). Zbl0538.12014MR85j:11036
  6. [C-F] J. W. S. CASSELS et A. FRÖHLICH, Algebraic Number Theory, Academic Press, 1967. Zbl0153.07403
  7. [D-M] P. DELIGNE et D. MUMFORD, The Irreducibility of the Space of Curves of Given Genus (Pub. Math. I.H.E.S., n° 36). Zbl0181.48803
  8. [J] J.-P. JOUANOLOU, Théorèmes de Bertini et applications (Progress in Math., Birkhöuser, vol. 42). Zbl0519.14002MR86b:13007
  9. [K] D. KNUTSON, Algebraic Spaces, LNM 203, Springer. Zbl0221.14001MR46 #1791
  10. [MB 1] L. MORET-BAILLY, Groupes de Picard et problèmes de Skolem I [Ann. sci. E.N.S. (4e série, t. 22, 1989, p. 161-179)]. Zbl0704.14014MR90i:11065
  11. [MB 2] L. MORET-BAILLY, Problèmes de Skolem sur les champs algébriques (en préparation). 
  12. [Ru 1] R. RUMELY, Arithmetic Over the Ring of all Algebraic Integers (J. reine u. angew. Math., vol. 368, 1986, p. 127-133). Zbl0581.14014MR87i:11041
  13. [Ru 2] R. RUMELY, Capacity theory on algebraic curves (à paraître). 
  14. [S] J.-P. SERRE, Groupes algébriques et corps de classes, Hermann. Zbl0097.35604

Citations in EuDML Documents

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  1. Vincenzo Mantova, Approssimazioni di Artin-Whaples con grado limitato su varietà algebriche
  2. Laurent Moret-Bailly, Groupes de Picard et problèmes de Skolem. I
  3. Bas Edixhoven, Rational elliptic curves are modular
  4. Pierre Dèbes, Nour Ghazi, Galois Covers and the Hilbert-Grunwald Property
  5. Jean-Pierre Wintenberger, La conjecture de modularité de Serre : le cas de conducteur 1
  6. Barry Green, Recent results in the theory of constant reductions
  7. Richard Taylor, Galois representations

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