Relations between jacobians of modular curves of level
Imin Chen[1]; Bart De Smit[2]; Martin Grabitz[3]
- [1] Department of Mathematics Simon Fraser University Burnaby, B.C., Canada, V5A 1S6
- [2] Mathematisch Instituut Universiteit Leiden Postbus 9512 2300 RA Leiden, Netherlands
- [3] Mathematisches Institut der Humboldt Universitaet Rudower Chaussee 25 (Ecke Magnusstrasse) 12489 Berlin House 1, Germany
Journal de Théorie des Nombres de Bordeaux (2004)
- Volume: 16, Issue: 1, page 95-106
- ISSN: 1246-7405
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topChen, Imin, De Smit, Bart, and Grabitz, Martin. "Relations between jacobians of modular curves of level $p^2$." Journal de Théorie des Nombres de Bordeaux 16.1 (2004): 95-106. <http://eudml.org/doc/249245>.
@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 -
References
top- I. Chen, Jacobians of a certain class of modular curves of level . Provisionally accepted by the Comptes Rendus de l’Academie des Sciences - Mathematics, 30 January 2004.
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