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Quaternion Orders, Quadratic Forms, and Shimura Curves
About this Title
Montserrat Alsina, Universitat Politècnica de Catalunya, Manresa, Spain and Pilar Bayer, Universitat de Barcelona, Barcelona, Spain
Publication: CRM Monograph Series
Publication Year:
2004; Volume 22
ISBNs: 978-0-8218-9019-6 (print); 978-1-4704-1769-7 (online)
DOI: https://doi.org/10.1090/crmm/022
MathSciNet review: MR2038122
MSC: Primary 11R52; Secondary 11G18, 11S45
Table of Contents
Front/Back Matter
Chapters
- Quaternion algebras and quaternion orders
- Introduction to Shimura curves
- Quaternion algebras and quadratic forms
- Embeddings and quadratic forms
- Hyperbolic fundamental domains for Shimura curves
- Complex multiplication points in Shimura curves
- The Poincare package
- Appendix A. Tables
- Appendix B. Further contributions to the study of Shimura curves
- Appendix C. Applications of Shimura curves