Groupes de Picard et problèmes de Skolem. I

Laurent Moret-Bailly

Annales scientifiques de l'École Normale Supérieure (1989)

  • Volume: 22, Issue: 2, page 161-179
  • ISSN: 0012-9593

How to cite

top

Moret-Bailly, Laurent. "Groupes de Picard et problèmes de Skolem. I." Annales scientifiques de l'École Normale Supérieure 22.2 (1989): 161-179. <http://eudml.org/doc/82250>.

@article{Moret1989,
author = {Moret-Bailly, Laurent},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Skolem problems; finite extension ring of algebraic integers; existence of a solution of a system of diophantine equations},
language = {fre},
number = {2},
pages = {161-179},
publisher = {Elsevier},
title = {Groupes de Picard et problèmes de Skolem. I},
url = {http://eudml.org/doc/82250},
volume = {22},
year = {1989},
}

TY - JOUR
AU - Moret-Bailly, Laurent
TI - Groupes de Picard et problèmes de Skolem. I
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1989
PB - Elsevier
VL - 22
IS - 2
SP - 161
EP - 179
LA - fre
KW - Skolem problems; finite extension ring of algebraic integers; existence of a solution of a system of diophantine equations
UR - http://eudml.org/doc/82250
ER -

References

top
  1. [A] M. ARTIN, Some Numerical Criteria for Contractibility of Curves on Algebraic Surfaces (Amer. J. Math., vol. 84, 1962, p. 485-496). Zbl0105.14404MR26 #3704
  2. [C-R] D. CANTOR et P. ROQUETTE, On Diaphantine Equations over the Ring of All Algebraic Integers (J. of Number Theory, vol. 18, 1984, p. 1-26). Zbl0538.12014MR85j:11036
  3. [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
  4. [F] W. FULTON, Intersection Theory, Springer Ergebnisse, vol. 2. 
  5. [J] J.-P. JOUANOLOU, Théorèmes de Bertini et applications (Progress in Math., vol. 42, Birkhöuser). Zbl0519.14002MR86b:13007
  6. [K] D. KNUTSON, Algebraic Spaces (Lecture Notes in Math., vol. 203, Springer). Zbl0221.14001MR46 #1791
  7. [MB 1] L. MORET-BAILLY, Points entiers des variétés arithmétiques [Séminaire de théorie des nombres de Paris (Progress in Math., Birkhöuser)]. Zbl0644.14008
  8. [MB 2] L. MORET-BAILLY, Groupes de Picard et problèmes de Skolem II [Ann. sci. Ec. Norm. Sup. (4e série, t. 22, 1989, p. 181-194)]. Zbl0704.14015MR90i:11065
  9. [MB 3] L. MORET-BAILLY, Problèmes de Skolem sur les champs algébriques (en préparation). 
  10. [M] D. MUMFORD, The Topology of Normal Singularities of an Algebraic Surface and a Criterion for Simplicity (Pub. Math. I.H.E.S., n° 9, 1961). Zbl0108.16801MR27 #3643
  11. [R 1] R. RUMELY, Capacity Theory on Algebraic Curves (à paraître). 
  12. [R 2] R. RUMELY, Arithmetic Over the Ring of all Algebraic Integers (J. reine u. angew. Math., 368, 1986, p. 127-133). Zbl0581.14014MR87i:11041
  13. [S] T. SKOLEM, Lösung gewisser Gleichungen in ganzen algebraischen Zahlen, insbesondere in Einheiten (Skrifter Norske Videnskaps-Akademi i Oslo, Mat. Naturv. Kl. 10, 1934). Zbl0011.19701JFM61.0175.06
  14. [SPC] L. SZPIRO et coll. Séminaire sur les pinceaux de courbes de genre au moins deux (Astérisque, vol. 86). 

Citations in EuDML Documents

top
  1. Laurent Moret-Bailly, Groupes de Picard et problèmes de Skolem. II
  2. Pascal Autissier, Points entiers et théorèmes de Bertini arithmétiques
  3. A. J. De Jong, Smoothness, semi-stability and alterations
  4. Jean-Benoît Bost, Gerard Freixas i Montplet, Semi-abelian Schemes and Heights of Cycles in Moduli Spaces of abelian Varieties
  5. J.-B. Bost, Potential theory and Lefschetz theorems for arithmetic surfaces
  6. Barry Green, Recent results in the theory of constant reductions

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.