Rigid Geometry of Curves and Their Jacobians is popular PDF and ePub book, written by Werner Lütkebohmert in 2016-01-26, 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, Rigid Geometry of Curves and Their Jacobians can be Read Online from any device for your convenience.
Rigid Geometry of Curves and Their Jacobians Book PDF Summary
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.
Detail Book of Rigid Geometry of Curves and Their Jacobians PDF
- Author : Werner Lütkebohmert
- Release : 26 January 2016
- Publisher : Springer
- ISBN : 9783319273716
- Genre : Mathematics
- Total Page : 386 pages
- Language : English
- PDF File Size : 15,9 Mb
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