Overview
- Provides rapid access to advanced Rigid Geometry
- Offers self-contained content
- Includes Tate’s classical theory, as well as Raynaud’s approach using formal schemes
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2105)
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Table of contents (9 chapters)
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Front Matter
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Classical Rigid Geometry
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Front Matter
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Formal Geometry
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Front Matter
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Back Matter
Keywords
About this book
The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal means of learning advanced rigid geometry, regardless of the reader's level of background. Despite its parsimonious style, the presentation illustrates a number of key facts even more extensively than any other previous work.
This Lecture Notes Volume is a revised and slightly expanded version of a preprint that appeared in 2005 at the University of Münster's Collaborative Research Center "Geometrical Structures in Mathematics".
Reviews
“Its aim is to offer a rapid and mostly self-contained ‘lecture-style’ introduction to the theory of classical rigid geometry established by Tate, together with the formal algebraic geometry approach set up by Raynaud. Furthermore, the volume provides enlightening examples of rigid spaces and points out analogies with and differences from the theory of schemes. The book is suitable for a first course on formal and rigid geometry, but it can be used equally well for personal study.” (Alessandra Bertapelle, Mathematical Reviews, March, 2016)
“All notions introduced are discussed thoroughly, proofs are lucid and elegant, and the hypotheses made and their relevance are clear throughout the text. … The reader comes away from the text with a thorough understanding of the internal motivations of the theory of formal and rigid spaces. The bookis an extremely readable introduction to its subject, as well as to the techniques of modern geometry in general.” (Jeroen Sijsling, zbMATH 1314.14002, 2015)
Authors and Affiliations
Bibliographic Information
Book Title: Lectures on Formal and Rigid Geometry
Authors: Siegfried Bosch
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-04417-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Softcover ISBN: 978-3-319-04416-3Published: 04 September 2014
eBook ISBN: 978-3-319-04417-0Published: 22 August 2014
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 254
Topics: Mathematics, general, Algebraic Geometry, Number Theory