On Galois representations defined by torsion points of modular elliptic curves

P. Bayer; J. C. Lario

Compositio Mathematica (1992)

  • Volume: 84, Issue: 1, page 71-84
  • ISSN: 0010-437X

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Bayer, P., and Lario, J. C.. "On Galois representations defined by torsion points of modular elliptic curves." Compositio Mathematica 84.1 (1992): 71-84. <http://eudml.org/doc/90180>.

@article{Bayer1992,
author = {Bayer, P., Lario, J. C.},
journal = {Compositio Mathematica},
keywords = {modular elliptic curves; -torsion points; Galois representations; Kodaira symbols; Serre's conjecture; good ordinary reduction; semi-stable reduction},
language = {eng},
number = {1},
pages = {71-84},
publisher = {Kluwer Academic Publishers},
title = {On Galois representations defined by torsion points of modular elliptic curves},
url = {http://eudml.org/doc/90180},
volume = {84},
year = {1992},
}

TY - JOUR
AU - Bayer, P.
AU - Lario, J. C.
TI - On Galois representations defined by torsion points of modular elliptic curves
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 84
IS - 1
SP - 71
EP - 84
LA - eng
KW - modular elliptic curves; -torsion points; Galois representations; Kodaira symbols; Serre's conjecture; good ordinary reduction; semi-stable reduction
UR - http://eudml.org/doc/90180
ER -

References

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  5. [Hi] Hida, H.: Galois representations into GL2[[X]] attached to ordinary cusp forms, Inv. Math.85 (1986), 545-577. Zbl0612.10021MR848685
  6. [Jo-Li] Jordan, B.W. and Livné, R.: Conjecture 'epsilon' for weight k &gt; 2, Bull. Amer. Math. Soc.21 (1989), 51-69. Zbl0675.10020MR985137
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  11. [Ma-Ti] Mazur, B. and Tilouine, J.: Représentations galoisiennes, différentielles de Kähler, et 'conjectures principales',Publ. Math. IHES71 (1990), 65-103. Zbl0744.11053MR1079644
  12. [Mi] Miyake, T.: On automorphic forms on GL2 and Hecke operators, Ann. of Math.94 (1971), 174-189. Zbl0204.54201MR299559
  13. [Og] Ogg, A.: On the eigenvalues of the Hecke operators, Math. Ann.79 (1969), 101-108. Zbl0169.10102MR269597
  14. [Ri] Ribet, K.: On modular representations of Gal(Q/Q) arising from modular forms, Invent. Math.100 (1990), 431-476. Zbl0773.11039MR1047143
  15. [Se1] Serre, J.-P.: Facteurs locaux des fonctions zêta des variétés algébriques (définitions et conjectures); Séminaire Delange-Pisot-Poitou 19 (1969/70); Œ 87. Springer, 1986. Zbl0214.48403
  16. [Se2] Serre, J.P.: Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math.15 (1972), 259-331; Œ 94, 1986. Zbl0235.14012
  17. [Se3] Serre, J.-P.: Valeurs propres des opérateurs de Hecke modulo l, Astérisque24-25 (1975), 109-117; Œ 104, Springer, 1986. Zbl0305.10021
  18. [Se4] Serre, J.-P.: Sur les représentations modulaires de degré 2 de Gal(Q/Q), Duke Math. J.54 (1987), 179-230. Zbl0641.10026MR885783
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