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Rigid Geometry of Curves and Their Jacobians on Hardback by Werner Lutkebohmert
Rigid Geometry of Curves and Their Jacobians on Hardback by Werner Lutkebohmert
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Rigid Geometry of Curves and Their Jacobians

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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.
Release date NZ
February 3rd, 2016
Audience
  • Professional & Vocational
Edition
1st ed. 2016
Illustrations
1 Illustrations, black and white; XVIII, 386 p. 1 illus.
Pages
386
Dimensions
155x235x24
ISBN-13
9783319273693
Product ID
24304241

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