Genus 2 Curves with Quaternionic Multiplication

DOI10.4153/CJM-2008-033-7zbMath1163.11047OpenAlexW2034507757MaRDI QIDQ3534257

Srinath Baba, Håkan Granath

Publication date: 3 November 2008

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

Full work available at URL: https://doi.org/10.4153/cjm-2008-033-7

zbMATH Keywords

modular formShimura curvefield of modulicanonical modelquaternionic multiplication

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (10)

Non-elliptic Shimura curves of genus one ⋮ Algebraic curves uniformized by congruence subgroups of triangle groups ⋮ Quaternionic loci in Siegel's modular threefold ⋮ Remarks on strongly modular Jacobian surfaces ⋮ The discriminant 10 Shimura curve and its associated Heun functions ⋮ Differential equations and expansions for quaternionic modular forms in the discriminant 6 case ⋮ Automorphic forms and cohomology theories on Shimura curves of small discriminant ⋮ Abelian surfaces over totally real fields are potentially modular ⋮ Examples of genuine QM abelian surfaces which are modular ⋮ Quaternionic modular forms and exceptional sets of hypergeometric functions

Uses Software

• Macaulay2

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