3 citations · 5 across the 4 of their papers we have counts for
4 papers
Algebraic points on Shimura curves of -type (III)
Keisuke Arai
In previous articles, we classified the characters associated to algebraic points on Shimura curves of -type, and over number fields in a certain large class we showed that…
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…
An effective bound of for algebraic points on Shimura curves of -type
Keisuke Arai
In previous articles, we classified the characters associated to algebraic points on Shimura curves of -type, and over number fields in a certain large class we showed that…
On uniform lower bound of the Galois images associated to elliptic curves
Keisuke Arai
Let p be a prime and K be a number field. Let rho_{E,p}:G_K \longrightarrow Aut(T_p E)\cong GL_2(Z_p) be the Galois representation given by the Galois action on the p-adic Tate mod…