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Algebraic points on Shimura curves of Γ0(p)-type (II)

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Abstract

In a previous article, we proved that for a quadratic field, there are at most elliptic points on a Shimura curve of Γ0(p)-type for every sufficiently large prime number p. This is an analogue of the study of rational points on the modular curve X 0(p) by Mazur and Momose. In this article, we expand the previous result for Shimura curves to the case of number fields of higher degree, which seems unknown for X 0(p).

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Correspondence to Keisuke Arai.

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Arai, K. Algebraic points on Shimura curves of Γ0(p)-type (II). manuscripta math. 149, 63–70 (2016). https://doi.org/10.1007/s00229-015-0770-6

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  • DOI: https://doi.org/10.1007/s00229-015-0770-6

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