**Quaternion Orders, Quadratic Forms, and Shimura Curves by Montserrat Alsina and Pilar Bayer**2004 | ISBN: 0821833596 | 196 pages | PDF | 7,2 MB

Shimura curves are a far-reaching generalization of the classical modular curves. They lie at the crossroads of many areas, including complex analysis, hyperbolic geometry, algebraic geometry, algebra, and arithmetic. This monograph presents Shimura curves from a theoretical and algorithmic perspective.