Scholarlink

<p>We study the characters induced by suitable level structures of abelian varieties with quaternionic multiplication following the methods of Mazur, Momose, who studied the characters induced by elliptic curves, and Arai–Momose, who studied the characters induced by abelian surfaces with quaternionic multiplication. Also using results on such characters we show that Shimura varieties parametrizing them have rarely rational points.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Rational points on Shimura varieties classifying abelian varieties with quaternionic multiplication

  • 期刊论文

  • 发表日期：

    2026年1月19日

查看全文
  • Koji Matsuda

摘要

We study the characters induced by suitable level structures of abelian varieties with quaternionic multiplication following the methods of Mazur, Momose, who studied the characters induced by elliptic curves, and Arai–Momose, who studied the characters induced by abelian surfaces with quaternionic multiplication. Also using results on such characters we show that Shimura varieties parametrizing them have rarely rational points.