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Explicit form of quaternion modular embeddings

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Publication:1911576
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zbMath0851.11034MaRDI QIDQ1911576

Ki-ichiro Hashimoto

Publication date: 18 June 1996

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


zbMATH Keywords

Shimura curvequaternion algebraabelian surfacesHumbert surfacesquaternion modular embedding


Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Algebraic moduli of abelian varieties, classification (14K10) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)


Related Items (8)

Shimura curves as intersections of Humbert surfaces and defining equations of QM-curves of genus two ⋮ Power series expansions of modular forms and p-adic interpolation of the square roots of Rankin–Selberg special values ⋮ Icosahedral invariants and Shimura curves ⋮ Quaternionic loci in Siegel's modular threefold ⋮ A \(p\)-adic Maass-Shimura operator on Mumford curves ⋮ Endomorphism rings of abelian surfaces and projective models of their moduli spaces ⋮ Some explicit constructions of integral structures in quaternion algebras ⋮ Theta series of quaternion algebras over function fields.




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