Formal group laws for certain formal groups arising from modular curves

Enric Nart

Compositio Mathematica (1993)

  • Volume: 85, Issue: 1, page 109-119
  • ISSN: 0010-437X

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Nart, Enric. "Formal group laws for certain formal groups arising from modular curves." Compositio Mathematica 85.1 (1993): 109-119. <http://eudml.org/doc/90188>.

@article{Nart1993,
author = {Nart, Enric},
journal = {Compositio Mathematica},
keywords = {formal groups; modular curves; new part of the Jacobian of the modular curve; Néron model; Shimura-Taniyama-Weil conjecture},
language = {eng},
number = {1},
pages = {109-119},
publisher = {Kluwer Academic Publishers},
title = {Formal group laws for certain formal groups arising from modular curves},
url = {http://eudml.org/doc/90188},
volume = {85},
year = {1993},
}

TY - JOUR
AU - Nart, Enric
TI - Formal group laws for certain formal groups arising from modular curves
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 85
IS - 1
SP - 109
EP - 119
LA - eng
KW - formal groups; modular curves; new part of the Jacobian of the modular curve; Néron model; Shimura-Taniyama-Weil conjecture
UR - http://eudml.org/doc/90188
ER -

References

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  1. [At-Le] A.O.L. Atkin-J.Lehner: Hecke operators on Γ 0(m), Math. Ann.185 (1970), 134-160. Zbl0177.34901
  2. [Ca] P. Cartier: Groupes formels, fonctions automorphes et fonctions zêta des courbes elliptiques, Actes du Congrès Int. Math. Nice 1970, Tome 2:290-299, Paris, Gauthiers-Villars, 1971. Zbl0298.14013MR429920
  3. [De-Na] C. Deninger-E.Nart: Formal groups and L-series, Comment. Math. Helv.65 (1990), 318-333. Zbl0741.14026MR1057247
  4. [Gr] A. Grothendieck: Étude globale élémentaire de quelques classes de morphismes (EGA II), Publ. Math. IHES8 (1961). 
  5. [Ha] M. Hazewinkel: Formal groups and applications, New York, Academic Press, 1978. Zbl0454.14020MR506881
  6. [Ho] T. Honda: Formal groups and zeta functions, Osaka J. Math.5 (1968), 199-213. Zbl0169.37601MR249438
  7. [Ka-Ma] N.M. Katz-B.Mazur: Arithmetic moduli of elliptic curves, Annals of Math. Studies n.108, Princeton Univ. Press, Princeton, New Jersey, 1985. Zbl0576.14026MR772569
  8. [Ma1] B. Mazur: Modular curves and the Eisenstein ideal, Publ. Math. IHES47 (1977), 33-186. Zbl0394.14008MR488287
  9. [Ma2] B. Mazur: Rational isogenies of prime degree, Inv. Math.44 (1978), 129-162. Zbl0386.14009MR482230
  10. [Na] E. Nart: The formal completion of the Néron model of J0(p), Publ. Mat.35 (1991), 537-542. Zbl0751.14017MR1201575
  11. [Ra] M. Raynaud: Spécialisation du foncteur de Picard, Publ. Math. IHES38 (1970), 27-76. Zbl0207.51602MR282993
  12. [Se] J.P. Serre: Groupes algébriques et corps de classes, Hermann, Paris, 1959. Zbl0097.35604
  13. [Sh] G. Shimura: Introduction to the arithmetic theory of automorphic functions, Princeton Univ. Press, Princeton, New Jersey, 1971. Zbl0221.10029MR314766

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