Points rationnels des courbes modulaires X 0 ( N )

Jean-Pierre Serre

Séminaire Bourbaki (1977-1978)

  • Volume: 20, page 89-100
  • ISSN: 0303-1179

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Serre, Jean-Pierre. "Points rationnels des courbes modulaires $X_0(N)$." Séminaire Bourbaki 20 (1977-1978): 89-100. <http://eudml.org/doc/109929>.

@article{Serre1977-1978,
author = {Serre, Jean-Pierre},
journal = {Séminaire Bourbaki},
keywords = {modular curve; no rational points},
language = {fre},
pages = {89-100},
publisher = {Springer-Verlag},
title = {Points rationnels des courbes modulaires $X_0(N)$},
url = {http://eudml.org/doc/109929},
volume = {20},
year = {1977-1978},
}

TY - JOUR
AU - Serre, Jean-Pierre
TI - Points rationnels des courbes modulaires $X_0(N)$
JO - Séminaire Bourbaki
PY - 1977-1978
PB - Springer-Verlag
VL - 20
SP - 89
EP - 100
LA - fre
KW - modular curve; no rational points
UR - http://eudml.org/doc/109929
ER -

References

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  1. [1] P. Deligne et M. Rapoport - Les schémas de modules de courbes elliptiques, Lecture Notes in Math. n° 349, p. 143-316, Springer-Verlag, 1973. Zbl0281.14010MR337993
  2. [2] D. Kubert - Universal bounds on torsion of elliptic curves, Proc. London Math. Soc. (3), 33 (1976), p. 193-237. Zbl0331.14010MR434947
  3. [3] B. Mazur - Modular curves and the Eisenstein ideal, Publ. Math. I.H.E.S., 47 (1978), p. 35-193. Zbl0394.14008MR488287
  4. [4] B. Mazur - Rational points on modular curves, Lecture Notes in Math., n° 601, p. 107-148, Springer-Verlag, 1977. Zbl0357.14005MR450283
  5. [5] B. Mazur - Rational Isogenies of Prime Degree, Invent. Math.,44(1978), 129-162. Zbl0386.14009MR482230
  6. [6] B. Mazur et J.-P. Serre - Points rationnels des courbes modulaires Xo(N) , Séminaire Bourbaki, 27e année, 1974/75, exposé 469, Lecture Notes in Math. n° 514, p. 238-255, Springer-Verlag, 1976. Zbl0346.14013MR485882
  7. [7] M. Raynaud - Schémas en groupes de type (p,...,p) , Bull. Soc. Math. France, 102(1974), p. 241-280. Zbl0325.14020MR419467
  8. [8] 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, p. 281-294, Springer-Verlag, 1971. Zbl0222.14019
  9. [9] J.-P. Serre - Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math., 15 (1972), p. 259-331. Zbl0235.14012MR387283
  10. [10] J.-P. Serre and J. Tate - Good reduction of abelian varieties, Ann. of Math., 88 (1968), 492-517. Zbl0172.46101MR236190
  11. [11] H.M. Stark - A complete determination of the complex quadratic fields of class-number one, Mich. Math. J., 14 (1967), p. 1-27. Zbl0148.27802MR222050

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