Arithmetic Noncommutative Geometry
| Author/creator | Marcolli, Matilde Author |
| Format | Electronic |
| Publication Info | Providence : American Mathematical Society |
| Description | 136 p. ill |
| Supplemental Content | Full text available from University Lecture Series Backfile |
| Subjects |
| Series | University Lecture Ser. 36 |
| Summary | Annotation Arithmetic Noncommutative Geometry uses ideas and tools from noncommutative geometry to address questions in a new way and to reinterpret results and constructions from number theory and arithmetic algebraic geometry. This general philosophy is applied to the geometry and arithmetic of modular curves and to the fibers at Archimedean places of arithmetic surfaces and varieties. Noncommutative geometry can be expected to say something about topics of arithmetic interest because it provides the right framework for which the tools of geometry continue to make sense on spaces that are very singular and apparently very far from the world of algebraic varieties. This provides a way of refining the boundary structure of certain classes of spaces that arise in the context of arithmetic geometry. With a foreword written by Yuri Manin and a brief introduction to noncommutative geometry, this book offers a comprehensive account of the cross fertilization between two important areas, noncommutative geometry and number theory. It is suitable for graduate students and researchers interested in these areas. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2005047833 |
| ISBN | 9780821838334 |
| ISBN | 0821838334 (Trade Paper) Active Record |
| Standard identifier# | 9780821838334 |
| Stock number | 00001436 |