A classification of \(\mathbb Q\)-curves with complex multiplication

DOI10.2969/jmsj/1191418649zbMath1143.11327OpenAlexW2042134438MaRDI QIDQ1884817

Tetsuo Nakamura

Publication date: 27 October 2004

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1191418649

zbMATH Keywords

embedding problemelliptic curvecomplex multiplicationrestriction of scalarsQ-curve

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Complex multiplication and moduli of abelian varieties (11G15)

Related Items (6)

Compatibility of arithmetic and algebraic local constants (the case ) ⋮ Formal groups of \(\mathbb Q\)-curves with complex multiplication ⋮ Endomorphism algebras of geometrically split abelian surfaces over \(\mathbb{Q} \) ⋮ Abelian varieties over \(\mathbb Q\) associated with an imaginary quadratic field ⋮ Torsion points on some abelian surfaces of CM-type ⋮ Non-critical equivariant L-values of modular abelian varieties

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