Points rationnels des courbes modulaires X 0 ( N )

Barry Mazur; Jean-Pierre Serre

Séminaire Bourbaki (1974-1975)

  • Volume: 17, page 238-255
  • ISSN: 0303-1179

How to cite

top

Mazur, Barry, and Serre, Jean-Pierre. "Points rationnels des courbes modulaires $X_0(N)$." Séminaire Bourbaki 17 (1974-1975): 238-255. <http://eudml.org/doc/109870>.

@article{Mazur1974-1975,
author = {Mazur, Barry, Serre, Jean-Pierre},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {238-255},
publisher = {Springer-Verlag},
title = {Points rationnels des courbes modulaires $X_0(N)$},
url = {http://eudml.org/doc/109870},
volume = {17},
year = {1974-1975},
}

TY - JOUR
AU - Mazur, Barry
AU - Serre, Jean-Pierre
TI - Points rationnels des courbes modulaires $X_0(N)$
JO - Séminaire Bourbaki
PY - 1974-1975
PB - Springer-Verlag
VL - 17
SP - 238
EP - 255
LA - fre
UR - http://eudml.org/doc/109870
ER -

References

top
  1. [1] P. Deligne et M. Rapoport - Les schémas de modules de courbes elliptiques, Lecture Notes in Math. n° 349, p. 143-316, Springer, 1973. Zbl0281.14010MR337993
  2. [2] V.A. Demjanenko - Sur la torsion des courbes elliptiques [en russe], Izv. Akad. N. CCCP, 35 (1971), p. 280-307 [MR 44, 2755]. Zbl0222.14018
  3. [3] E. Hecke - Mathematische Werke, 2ème édition, Göttingen, 1970. Zbl0092.00102MR371577
  4. [4] N. Katz - p-adic properties of modular schemes and modular forms, Lecture Notes in Math. n° 350, p. 69-190, Springer, 1973. Zbl0271.10033MR447119
  5. [5] M. Koike - On the congruences between Eisenstein series and cusp forms, à paraître. 
  6. [6] D. Kubert - Universal bounds on the torsion of elliptic curves, à paraître. Zbl0404.14006
  7. [7] B. Mazur - Modular curves and the Eisenstein ideal, en préparation. Zbl0394.14008
  8. [8] A. Néron - Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, Publ. Math. I.H.E.S., 21 (1964), p. 361-483 [MR 31, 3424]. Zbl0132.41403MR179172
  9. [9] A. Ogg - a) Rational points on certain elliptic modular curves, Proc. Symp. Pure Math., 24 (1973), AMS, Providence, p. 221-231. Zbl0273.14008MR337974
  10. b) Diophantine equations and modular forms, Bull. AMS, 81 (1975), p. 14-27. Zbl0316.14012MR354675
  11. [10] A. Ogg - Hyperelliptic modular curves, Bull. Soc. math. France, 102 (1974), p. 449-462. Zbl0314.10018MR364259
  12. [11] M. Raynaud - Spécialisation du foncteur de Picard, Publ. Math. I.H.E.S., 38 (1970), p. 27-76. Zbl0207.51602MR282993
  13. [12] K. Ribet - Endomorphisms of semi-stable abelian varieties over number fields, Annals of Math., 101 (1975), p. 555-562. Zbl0305.14016MR371903
  14. [13] J.-P. Serre - p-torsion des courbes elliptiques (d'après Y. MANIN), Séminaire Bourbaki, 22e année, 1969/70, exposé 380, Lecture Notes in Math. n° 180, Springer, 1971. Zbl0222.14019
  15. [14] G. Shimura - Introduction to the arithmetic theory of automorphic functions, Publ. Math. Soc. Japan, n° 11, Tokyo-Princeton, 1971. Zbl0221.10029MR314766

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.