On a result of Imin Chen

Details On a result of Imin Chen On a result of Imin Chen

1996-04-10

arxiv.org/abs/alg-geom/9604008v1

Mathematics

Algebraic Geometry

latex, 5 pages, hard copies available

Scientific paper

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.

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