| 书目名称 | Rigid Geometry of Curves and Their Jacobians |
| 编辑 | Werner Lütkebohmert |
| 视频video | |
| 概述 | The first comprehensive presentation of the whole topic of curves, Jacobians, abelian varieties and proper analytic group varieties over non-archimedian fields.Introduces the powerful tools of formal |
| 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati |
| 图书封面 |  |
| 描述 | .This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of curves with split rational reduction there is a complete analogue to the fascinating theory of Riemann surfaces. In the case of proper smooth group varieties the uniformization and the construction of abelian varieties are treated in detail. .Rigid geometry was established by John Tate and was enriched by a formal algebraic approach launched by Michel Raynaud. It has proved as a means to illustrate the geometric ideas behind the abstract methods of formal algebraic geometry as used by Mumford and Faltings. This book should be of great use to students wishing to enter this field, as well as those already working in it.. |
| 出版日期 | Book 2016 |
| 关键词 | Algebraic Geometry; Arithmetic Geometry; Number Theory; Several Complex Variables and Analytic Spaces; C |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-27371-6 |
| isbn_softcover | 978-3-319-80123-0 |
| isbn_ebook | 978-3-319-27371-6Series ISSN 0071-1136 Series E-ISSN 2197-5655 |
| issn_series | 0071-1136 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 18:13:19
