Rational points and Brauer--Manin obstruction on Shimura varieties of level one classifying abelian varieties with quaternionic multiplication

Koji Matsuda

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arXiv · 2407.06921

Rational points and Brauer--Manin obstruction on Shimura varieties of level one classifying abelian varieties with quaternionic multiplication

Koji Matsuda

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Abstract

We show that the Shimura varieties of level one parametrizing QM-abelian varieties have rarely rational points.

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Koji Matsuda. 2024-07-09. Rational points and Brauer--Manin obstruction on Shimura varieties of level one classifying abelian varieties with quaternionic multiplication. https://arxiv.org/abs/2407.06921

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