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arXiv · 1205.3596

Algebraic points on Shimura curves of $\Gamma_0(p)$-type (II)

Keisuke Arai
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Abstract

In the previous article, we classified the characters associated to algebraic points on Shimura curves of $\Gamma_0(p)$-type, and over a quadratic field we showed that there are at most elliptic points on such a Shimura curve for every sufficiently large prime number $p$. In this article, we get a similar result for points over number fields of higher degree on Shimura curves of $\Gamma_0(p)$-type.

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Keisuke Arai. 2012-05-16. Algebraic points on Shimura curves of $\Gamma_0(p)$-type (II). https://arxiv.org/abs/1205.3596

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