On QM-abelian surfaces with model of GL\(_{2}\)-type over \(\mathbb Q\)

DOI10.1016/j.jnt.2004.07.018zbMath1081.14064OpenAlexW2012409133MaRDI QIDQ1775571

Naoki Murabayashi

Publication date: 4 May 2005

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.07.018

zbMATH Keywords

abelian varietyGL\(_2\)-type over \(\mathbb Q\)quaternion multiplication

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Arithmetic ground fields for abelian varieties (14K15)

Cites Work

• On the theory of automorphic functions
• Arithmétique des algèbres de quaternions
• An algorithm for computing modular forms on \(\Gamma_0(N)\)
• A remark on the modularity of abelian varieties of \(GL_2\)-type over \(\mathbb{Q}\)
• Shimura curves as intersections of Humbert surfaces and defining equations of QM-curves of genus two
• On the zeta-functions of the algebraic curves uniformized by certain automorphic functions
• On canonical models of arithmetic quotients of bounded symmetric domains
• Class fields over real quadratic fields and Hecke operators
• Points on Shimura curves rational over number fields.
• Courbes de Shimura hyperelliptiques
• The Boolean Algebra of Regular Open Sets
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On QM-abelian surfaces with model of GL\(_{2}\)-type over \(\mathbb Q\)