On the Sato-Tate conjecture for QM-curves of genus two

DOI10.1090/S0025-5718-99-01061-3zbMath1016.11025WikidataQ122945391 ScholiaQ122945391MaRDI QIDQ4257696

Hiroshi Tsunogai, Ki-ichiro Hashimoto

Publication date: 31 August 1999

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

\(L\)-functionsQuaternionic multiplication

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Arithmetic ground fields for abelian varieties (14K15)

Related Items (2)

Inose’s construction and elliptic 𝐾3 surfaces with Mordell-Weil rank 15 revisited ⋮ Examples of genuine QM abelian surfaces which are modular

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finiteness theorems for abelian varieties over number fields.
• On an analogue of the Sato conjecture
• Shimura curves as intersections of Humbert surfaces and defining equations of QM-curves of genus two
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
• MODULARITY CONJECTURE FOR Q-CURVES AND QM-CURVES

This page was built for publication: On the Sato-Tate conjecture for QM-curves of genus two