À propos de la conjecture de Manin pour les courbes elliptiques modulaires

Ahmed Abbes; Emmanuel Ullmo

Compositio Mathematica (1996)

  • Volume: 103, Issue: 3, page 269-286
  • ISSN: 0010-437X

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Abbes, Ahmed, and Ullmo, Emmanuel. "À propos de la conjecture de Manin pour les courbes elliptiques modulaires." Compositio Mathematica 103.3 (1996): 269-286. <http://eudml.org/doc/90472>.

@article{Abbes1996,
author = {Abbes, Ahmed, Ullmo, Emmanuel},
journal = {Compositio Mathematica},
keywords = {strong Weil curve; Manin constant; Néron model functor; Manin's conjecture; semi-stable elliptic curves},
language = {fre},
number = {3},
pages = {269-286},
publisher = {Kluwer Academic Publishers},
title = {À propos de la conjecture de Manin pour les courbes elliptiques modulaires},
url = {http://eudml.org/doc/90472},
volume = {103},
year = {1996},
}

TY - JOUR
AU - Abbes, Ahmed
AU - Ullmo, Emmanuel
TI - À propos de la conjecture de Manin pour les courbes elliptiques modulaires
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 103
IS - 3
SP - 269
EP - 286
LA - fre
KW - strong Weil curve; Manin constant; Néron model functor; Manin's conjecture; semi-stable elliptic curves
UR - http://eudml.org/doc/90472
ER -

References

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  1. 1 Atkin, A.O.L. and Lehner, J.: Hecke operators on Γ0(m), Math. Ann.185 (1970), 134-160. Zbl0177.34901
  2. 2 Bosch, S., Lütkebohmert, W., and Raynaud, M.: Néron Models, Springer-Verlag, New York, 1990. Zbl0705.14001MR1045822
  3. 3 Carayol, H.: Sur les représentations l-adiques associées aux formes modulaires de Hilbert, Ann. Sc. Ens19 (1986), 409-468. Zbl0616.10025MR870690
  4. 4 Deligne, P., and Rapoport, M.: Schémas de modules des courbes elliptiques, dans Modular functions of one variable II, Lectures Notes in Mathematics349, Springer-Verlag, New York, 1973. Zbl0281.14010MR337993
  5. 5 Edixhoven, B.: On the Manin constants of modular elliptic curves, in: Arithmetic algebraic geometry, Progress in Math.89, pp. 25-39, Birkhäuser, 1989. Zbl0749.14025MR1085254
  6. 6 Mazur, B.: Modular curves and the Eisenstein ideal, Pub. Math. IHES47 (1977), 33-186. Zbl0394.14008MR488287
  7. 7 Mazur, B.: Courbes Elliptiques et Symboles Modulaires, Séminaire Bourbaki, exposé 414, Juin 1972. Zbl0276.14012MR429921
  8. 8 Mazur, B.: Rational isogenies of prime degree, Invent. Math.44 (1978), 129-162. Zbl0386.14009MR482230
  9. 9 Raynaud, M.: Schémas en groupes de type (p, ... , p), Bul. S.M. F. t.102 (1974), 241-280. Zbl0325.14020MR419467
  10. 10 Ribet, K.: Endomorphisms of semi-stable abelian varieties over number fields, Ann. of Math.101 (1975), 555-562. Zbl0305.14016MR371903
  11. 11 Shimura, G.: Introduction to the Arithmetic Theory of Automorphic Functions, Iwanami Shoten, Publishers and Princeton University Press, 1971. Zbl0221.10029MR1291394
  12. 12 Tate, J.: p-Divisible groups, Proceedings of a conference on local fields, Nuffic summer schoolDriebergen, 1966, pp. 158-183. Zbl0157.27601MR231827
  13. 13 Zagier, D.: Modular parametrizations of elliptic curves, Canad. Math. Bull.28 (3) (1985), 372-384. Zbl0579.14027MR790959

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