An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type

• Autorzy: Keisuke Arai
• Języki publikacji: EN

Abstrakty

EN

In previous articles, we showed that for number fields in a certain large class, there are at most elliptic points on a Shimura curve of Γ₀(p)-type for every sufficiently large prime number p. In this article, we obtain an effective bound for such p.

Kategorie tematyczne

• 11G10: Abelian varieties of dimension > 1
• 11G15: Complex multiplication and moduli of abelian varieties
• 14G05: Rational points
• 11G18: Arithmetic aspects of modular and Shimura varieties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 164
• Numer: 4
• Strony: 343-353

Daty

wydano

2014

Twórcy

autor

Keisuke Arai

• Department of Mathematics, School of Engineering, Tokyo Denki University, 5 Senju Asahi-cho, Adachi-ku, Tokyo 120-8551, Japan

Identyfikatory

DOI

10.4064/aa164-4-2