Extension universelle d'une variété abélienne et hauteurs des points de torsion

Antoine Chambert-Loir

Compositio Mathematica (1996)

  • Volume: 103, Issue: 3, page 243-267
  • ISSN: 0010-437X

How to cite

top

Chambert-Loir, Antoine. "Extension universelle d'une variété abélienne et hauteurs des points de torsion." Compositio Mathematica 103.3 (1996): 243-267. <http://eudml.org/doc/90471>.

@article{Chambert1996,
author = {Chambert-Loir, Antoine},
journal = {Compositio Mathematica},
keywords = {heights; universal extension; Arakelov theory; abelian variety; Néron model; canonical extension; Tate module; differential form of the second kind; -adic period},
language = {fre},
number = {3},
pages = {243-267},
publisher = {Kluwer Academic Publishers},
title = {Extension universelle d'une variété abélienne et hauteurs des points de torsion},
url = {http://eudml.org/doc/90471},
volume = {103},
year = {1996},
}

TY - JOUR
AU - Chambert-Loir, Antoine
TI - Extension universelle d'une variété abélienne et hauteurs des points de torsion
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 103
IS - 3
SP - 243
EP - 267
LA - fre
KW - heights; universal extension; Arakelov theory; abelian variety; Néron model; canonical extension; Tate module; differential form of the second kind; -adic period
UR - http://eudml.org/doc/90471
ER -

References

top
  1. 1 Chambert-Loir, A.: Extension universelle et hauteurs, C.R.A.S., 318 (juin 1994), 1067-1070. Zbl0830.14017MR1282345
  2. 2 Cohen, P.: Heights of torsion points on commutative group varieties, Proc. London Math. Soc., 52 (1986), 427-444. Zbl0567.14024MR833644
  3. 3 —, Heights of torsion points on commutative group varieties II, Proc. London Math. Soc., 62 (1991), 99-120. Zbl0686.14046
  4. 4 Giraud, J.: Cohomologie non abélienne, Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Band 179, Springer, 1971. Zbl0226.14011MR344253
  5. 5 Hartshorne, R.: Algebraic Geometry, Graduate Texts in Mathematics52, Springer. Zbl0367.14001MR463157
  6. 6 Mazur, B. and Messing, W.: Universal Extensions and One Dimensional Crystalline Cohomology, Lecture Notes in Mathematics370, Springer. Zbl0301.14016MR374150
  7. 7 Milne, J.S.: Étale Cohomology, Princeton University Press, 33, 1980. Zbl0433.14012MR559531
  8. 8 Moret-Bailly, L.: Princeaux de variétés abéliennes, Astérisque129. Zbl0595.14032MR797982
  9. 9 Mumford, D.: Abelian Varieties, Oxford University Press, 1974. Zbl0326.14012
  10. 10 Oort, F. and Tate, J.: Group schemes of prime order, Ann. Sci. E.N.S.3 (1970), 1-21. Zbl0195.50801MR265368
  11. 11 Raynaud, M.: Schémas en groupes de type (p, ... , p), Bull. S.M.F., 102 (1974), 241-280. Zbl0325.14020MR419467
  12. 12 Serre, J.-P.: Groupes algébriques et corps de classes, Hermann, 1960. Zbl0097.35604
  13. 13 —, Quelques propriétés des groupes algébriques commutatifs, in Nombres transcendants et groupes algébriques, M. Waldschmidt, Astérisque69-70, 191-202. 
  14. 14 Szpiro, L.: Degrés, intersections, hauteurs, in Séminaire sur les princeaux arithmétiques: la conjecture de Mordell, Astérisque127, 11-28. MR801917
  15. 15 Tate, J.: p-divisible groups, in Proceedings of a Conference on Local Fields, Driebergen, 1967, 158-183. Zbl0157.27601MR231827

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.