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Overview"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""." Full Product DetailsAuthor: Siegfried BoschPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 2014 ed. Volume: 2105 Dimensions: Width: 15.50cm , Height: 1.40cm , Length: 23.50cm Weight: 4.044kg ISBN: 9783319044163ISBN 10: 3319044168 Pages: 254 Publication Date: 04 September 2014 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsReviewsIts 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 book is an extremely readable introduction to its subject, as well as to the techniques of modern geometry in general. (Jeroen Sijsling, zbMATH 1314.14002, 2015) 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 book is an extremely readable introduction to its subject, as well as to the techniques of modern geometry in general. (Jeroen Sijsling, zbMATH 1314.14002, 2015) 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 book is an extremely readable introduction to its subject, as well as to the techniques of modern geometry in general. (Jeroen Sijsling, zbMATH 1314.14002, 2015) 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 book is an extremely readable introduction to its subject, as well as to the techniques of modern geometry in general. (Jeroen Sijsling, zbMATH 1314.14002, 2015) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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