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arXiv:1205.3596 [math.NT]AbstractReferencesReviewsResources

Algebraic points on Shimura curves of $Γ_0(p)$-type (II)

Keisuke Arai

Published 2012-05-16, updated 2012-10-30Version 2

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.

Comments: 11 pages. arXiv admin note: substantial text overlap with arXiv:1202.4841
Categories: math.NT
Subjects: 11G18, 14G05, 11G10, 11G15
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arXiv:1303.5270 [math.NT] (Published 2013-02-22)
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arXiv:1211.0129 [math.NT] (Published 2012-11-01, updated 2012-12-27)
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