Sur la constante de Hida des courbes modulaires et des courbes de Shimura

Emmanuel Ullmo

Journal de théorie des nombres de Bordeaux (2001)

  • Volume: 13, Issue: 1, page 325-337
  • ISSN: 1246-7405

Abstract

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We compare the “modules of congruences between modular forms” of quotients of the new part of the jacobian J 0 ( N ) of X 0 ( N ) and quotients of the new part of the jacobian of some Shimura curves which are associated in the correspondance of Shimizu and Jacquet-Langlands.

How to cite

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Ullmo, Emmanuel. "Sur la constante de Hida des courbes modulaires et des courbes de Shimura." Journal de théorie des nombres de Bordeaux 13.1 (2001): 325-337. <http://eudml.org/doc/248717>.

@article{Ullmo2001,
abstract = {La correspondance de Shimizu et Jacquet-Langlands donne des relations entre les quotients de la partie nouvelle de la jacobienne $J_0(N)$ de $X_0(N)$ et ceux de la partie nouvelle de la jacobienne de certaines courbes de Shimura associées. Nous comparons dans ce texte les congruences entre formes modulaires pour des quotients qui sont associés dans cette correspondance.},
author = {Ullmo, Emmanuel},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {Shimura curves; modular curves; modular forms; Jacobians},
language = {fre},
number = {1},
pages = {325-337},
publisher = {Université Bordeaux I},
title = {Sur la constante de Hida des courbes modulaires et des courbes de Shimura},
url = {http://eudml.org/doc/248717},
volume = {13},
year = {2001},
}

TY - JOUR
AU - Ullmo, Emmanuel
TI - Sur la constante de Hida des courbes modulaires et des courbes de Shimura
JO - Journal de théorie des nombres de Bordeaux
PY - 2001
PB - Université Bordeaux I
VL - 13
IS - 1
SP - 325
EP - 337
AB - La correspondance de Shimizu et Jacquet-Langlands donne des relations entre les quotients de la partie nouvelle de la jacobienne $J_0(N)$ de $X_0(N)$ et ceux de la partie nouvelle de la jacobienne de certaines courbes de Shimura associées. Nous comparons dans ce texte les congruences entre formes modulaires pour des quotients qui sont associés dans cette correspondance.
LA - fre
KW - Shimura curves; modular curves; modular forms; Jacobians
UR - http://eudml.org/doc/248717
ER -

References

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