Algebraic points on Shimura curves of $\Gamma_0(p)$-type (II)
Number Theory
2012-10-31 v2
Abstract
In the previous article, we classified the characters associated to algebraic points on Shimura curves of -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 . In this article, we get a similar result for points over number fields of higher degree on Shimura curves of -type.
Keywords
Cite
@article{arxiv.1205.3596,
title = {Algebraic points on Shimura curves of $\Gamma_0(p)$-type (II)},
author = {Keisuke Arai},
journal= {arXiv preprint arXiv:1205.3596},
year = {2012}
}
Comments
11 pages. arXiv admin note: substantial text overlap with arXiv:1202.4841