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...
| Hauptverfasser: | , , , |
|---|---|
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Cambridge University Press
2024-01-01
|
| Schriftenreihe: | Forum of Mathematics, Sigma |
| Schlagworte: | |
| Online Zugang: | https://www.cambridge.org/core/product/identifier/S2050509424001051/type/journal_article |