Quaternion Orders Quadratic Forms and Shimura Curves is popular PDF and ePub book, written by Montserrat Alsina in 2004, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Quaternion Orders Quadratic Forms and Shimura Curves can be Read Online from any device for your convenience.
Quaternion Orders Quadratic Forms and Shimura Curves Book PDF Summary
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. The main topics are Shimura curves defined over the rational number field, the construction of their fundamental domains, and the determination of their complex multiplicationpoints. The study of complex multiplication points in Shimura curves leads to the study of families of binary quadratic forms with algebraic coefficients and to their classification by arithmetic Fuchsian groups. In this regard, the authors develop a theory full of new possibilities that parallels Gauss'theory on the classification of binary quadratic forms with integral coefficients by the action of the modular group. This is one of the few available books explaining the theory of Shimura curves at the graduate student level. Each topic covered in the book begins with a theoretical discussion followed by carefully worked-out examples, preparing the way for further research.
Detail Book of Quaternion Orders Quadratic Forms and Shimura Curves PDF
- Author : Montserrat Alsina
- Release : 30 June 2024
- Publisher : American Mathematical Soc.
- ISBN : 0821833596
- Genre : Mathematics
- Total Page : 232 pages
- Language : English
- PDF File Size : 7,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Quaternion Orders Quadratic Forms and Shimura Curves by Montserrat Alsina, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.
