2 papers
math.NT2024
Rational points and Brauer--Manin obstruction on Shimura varieties of level one classifying abelian varieties with quaternionic multiplication
Koji Matsuda
We show that the Shimura varieties of level one parametrizing QM-abelian varieties have rarely rational points.
math.NT2023
Rational points on Shimura varieties classifying abelian varieties with quaternionic multiplication
Koji Matsuda
We study the characters induced by suitable level structures of abelian varieties with quaternionic multiplication following the methods of Mazur, Momose, who studied the character…