On a result of Imin Chen
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
We give another proof of Imin Chen's result that the jacobian of the modular curve X(p)_{non-split}, for p a prime number, is isogeneous to the new part of the jacobian of X_0(p^2), using only the representation theory of the group GL_2(Z/pZ). In fact, we prove a generalization of Chen's result for objects with an action by GL_2(Z/pZ) in any pseudo-abelian Q-linear category.
Cite
@article{arxiv.alg-geom/9604008,
title = {On a result of Imin Chen},
author = {Bas Edixhoven},
journal= {arXiv preprint arXiv:alg-geom/9604008},
year = {2008}
}
Comments
latex, 5 pages, hard copies available