Keisuke Arai

activity

20072013

most citedOn the Rasmussen-Tamagawa conjecture for QM-abelian surfaces

3 citations · 5 across the 4 of their papers we have counts for

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Showing 2012 · math.NTShow all

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math.NT2012★ 3 cited

On the Rasmussen-Tamagawa conjecture for QM-abelian surfaces

Keisuke Arai

In the previous article, we showed the Rasmussen-Tamagawa conjecture for QM-abelian surfaces over imaginary quadratic fields. In this article, we generalize the previous work to QM…

math.NT2012★ 2 cited

An effective bound of $p$ for algebraic points on Shimura curves of $Γ_{0} (p)$ -type

Keisuke Arai

In previous articles, we classified the characters associated to algebraic points on Shimura curves of $Γ_{0} (p)$ -type, and over number fields in a certain large class we showed that…

On the Rasmussen-Tamagawa conjecture for QM-abelian surfaces

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

An effective bound of $p$ for algebraic points on Shimura curves of $Γ_{0} (p)$ -type