The old subvariety of J o ( pq ) ∗
نویسنده
چکیده
the Shimura subgroup Σp of Jo(p), viewed as a subgroup of Jo(p) 2 via the antidiagonal embedding x 7→ (x,−x). Thus we have A = Jo(p)/Σp and, analogously, B = Jo(q) /Σq. Since A and B are known, we consider that to understand A + B is to understand A ∩ B, which is a finite abelian group. The main purpose of this note is to identify A ∩B, up to groups of 2-power order. In other words, we identify the `-primary part of A ∩ B for each odd
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Multiplicities of Galois Representations in Jacobians of Shimura Curves
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