Werner Lütkebohmert

(Author)

Rigid Geometry of Curves and Their Jacobians (2016)Hardcover - 2016, 3 February 2016

Rigid Geometry of Curves and Their Jacobians (2016)
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Part of Series
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge /
Print Length
386 pages
Language
English
Publisher
Springer
Date Published
3 Feb 2016
ISBN-10
3319273698
ISBN-13
9783319273693

Description

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.

Product Details

Author:
Werner Lütkebohmert
Book Edition:
2016
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
3 February 2016
Dimensions:
23.39 x 15.6 x 2.39 cm
ISBN-10:
3319273698
ISBN-13:
9783319273693
Language:
English
Location:
Cham
Pages:
386
Publisher:
Weight:
743.89 gm

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