---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/ModularArithmeticGeometry/ArithmeticFuchsianGroupsAndShimuraCurves/bibliography.html"
source: "https://docs.magma-maths.org/ModularArithmeticGeometry/ArithmeticFuchsianGroupsAndShimuraCurves/bibliography.md"
part: "Modular Arithmetic Geometry"
chapter: "Arithmetic Fuchsian Groups and Shimura Curves"
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  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Modular Arithmetic Geometry", "source": "../index-modular-arithmetic-geometry.md"}
  - {"title": "Arithmetic Fuchsian Groups and Shimura Curves", "source": "index-arithmetic-fuchsian-groups-and-shimura-curves.md"}
prev: {"title": "Triangle Groups", "source": "triangle-groups.md"}
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---

# Bibliography

<a id="cite-alsina-bayer"></a>
- **[AB04]** Montserrat Alsina and Pilar Bayer. *Quaternion orders, quadratic forms, and Shimura curves*. Volume 22 of CRM Monograph Series. American Mathematical Society, Providence, RI, 2004. ISBN 0-8218-3359-6.
<a id="cite-beardon"></a>
- **[Bea77]** A. F. Beardon. The geometry of discrete groups. In *Discrete groups and automorphic functions (Proc. Conf., Cambridge, 1975)*, pages 47–72. Academic Press, London, 1977.
<a id="cite-elkies"></a>
- **[Elk98b]** Noam D. Elkies. Shimura curve computations. In *Algorithmic number theory (Portland, OR, 1998)*, volume 1423 of LNCS, pages 1–47. Springer, Berlin, 1998.
<a id="cite-katok"></a>
- **[Kat92]** Svetlana Katok. *Fuchsian groups*. Chicago Lectures in Mathematics. University of Chicago Press, Chicago, IL, 1992. ISBN 0-226-42582-7; 0-226-42583-5.
<a id="cite-vigneras80"></a>
- **[Vig80]** M.-F. Vignéras. *Arithmétique des Algèbres de Quaternions*. Volume 800 of Lecture Notes in Mathematics. Springer-Verlag, Berlin, 1980.
<a id="cite-voight-fundamental-domain"></a>
- **[Voi09]** J. Voight. Computing fundamental domains for cofinite Fuchsian groups. *J. Théor. Nombres Bordeaux*, 21(2):469–491, 2009.
<a id="cite-voight1"></a>
- **[Voi05]** John Voight. *Quadratic forms and quaternion algebras: Algorithms and arithmetic*. Dissertation, University of California, Berkeley, 2005.
<a id="cite-voight2"></a>
- **[Voi06]** John Voight. Computing CM points on Shimura curves arising from cocompact arithmetic triangle groups. In *Algorithmic number theory*, volume 4076 of LNCS, pages 406–420. Springer, Berlin, 2006.