Relations between jacobians of modular curves of level $p^2$

@article{Chen2004,
abstract = {We derive a relation between induced representations on the group $\operatorname\{GL\}_2(\{\mathbb\{Z\}\}/p^2\{\mathbb\{Z\}\})$ which implies a relation between the jacobians of certain modular curves of level $p^2$. The motivation for the construction of this relation is the determination of the applicability of Mazur’s method to the modular curve associated to the normalizer of a non-split Cartan subgroup of $\operatorname\{GL\}_2(\{\mathbb\{Z\}\}/p^2\{\mathbb\{Z\}\})$.},
affiliation = {Department of Mathematics Simon Fraser University Burnaby, B.C., Canada, V5A 1S6; Mathematisch Instituut Universiteit Leiden Postbus 9512 2300 RA Leiden, Netherlands; Mathematisches Institut der Humboldt Universitaet Rudower Chaussee 25 (Ecke Magnusstrasse) 12489 Berlin House 1, Germany},
author = {Chen, Imin, De Smit, Bart, Grabitz, Martin},
journal = {Journal de Théorie des Nombres de Bordeaux},
language = {eng},
number = {1},
pages = {95-106},
publisher = {Université Bordeaux 1},
title = {Relations between jacobians of modular curves of level $p^2$},
url = {http://eudml.org/doc/249245},
volume = {16},
year = {2004},
}

TY - JOUR
AU - Chen, Imin
AU - De Smit, Bart
AU - Grabitz, Martin
TI - Relations between jacobians of modular curves of level $p^2$
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2004
PB - Université Bordeaux 1
VL - 16
IS - 1
SP - 95
EP - 106
AB - We derive a relation between induced representations on the group $\operatorname{GL}_2({\mathbb{Z}}/p^2{\mathbb{Z}})$ which implies a relation between the jacobians of certain modular curves of level $p^2$. The motivation for the construction of this relation is the determination of the applicability of Mazur’s method to the modular curve associated to the normalizer of a non-split Cartan subgroup of $\operatorname{GL}_2({\mathbb{Z}}/p^2{\mathbb{Z}})$.
LA - eng
UR - http://eudml.org/doc/249245
ER -