Rational torsion points on abelian surfaces with quaternionic multiplication
Let A be an abelian surface over ${\mathbb {Q}}$ whose geometric endomorphism ring is a maximal order in a non-split quaternion algebra. Inspired by Mazur’s theorem for elliptic curves, we show that the torsion subgroup of $A({\mathbb {Q}})$ is $12$ -torsion and has order at most...
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| Автори: | , , , |
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| Формат: | Artigo |
| Мова: | Inglês |
| Опубліковано: |
Cambridge University Press
2024-01-01
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| Серія: | Forum of Mathematics, Sigma |
| Предмети: | |
| Онлайн доступ: | https://www.cambridge.org/core/product/identifier/S2050509424001051/type/journal_article |
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