Fundamental domains for Shimura curves.

DOI10.5802/jtnb.398zbMath1044.11052OpenAlexW2051143616MaRDI QIDQ1424582

David R. Kohel, Helena A. Verrill

Publication date: 16 March 2004

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_1_205_0

zbMATH Keywords

modular curvesShimura curvesquaternion algebrasfundamental domains

Mathematics Subject Classification ID

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

Related Items

Icosahedral invariants and Shimura curves ⋮ Projective uniformization, extremal Chern classes and quaternionic Shimura curves ⋮ Holomorphic projective connections on compact complex threefolds ⋮ Number of Kummer structures and moduli spaces of generalized Kummer surfaces ⋮ The ring of quasimodular forms for a cocompact group ⋮ Computing fundamental domains for Fuchsian groups ⋮ Evaluating modular forms on Shimura curves

Uses Software

• Magma
• ecdata

Cites Work

• Arithmétique des algèbres de quaternions
• Courbes de Shimura hyperelliptiques
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