Lectures on formal and rigid geometry [electronic resource] / Siegfried Bosch.
2014
QA564 .B675 2014eb
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Title
Lectures on formal and rigid geometry [electronic resource] / Siegfried Bosch.
Author
Bosch, S. (Siegfried), 1944-
ISBN
9783319044163
3319044168
9783319044170 electronic book
3319044176 electronic book
3319044168
9783319044170 electronic book
3319044176 electronic book
Published
Cham [Switzerland] : Springer, [2014]
Language
English
Description
1 online resource (viii, 254 pages) : illustrations
Call Number
QA564 .B675 2014eb
Dewey Decimal Classification
516.3/5
Summary
A first version of this work appeared in 2005 as a Preprint of the Collaborative Research Center "Geometrical Structures in Mathematics" at the University of Münster. Its aim was 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 the original preprint and has been published at the suggestion of several experts in the field.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Description based on online resource; title from PDF title page (SpringerLink, viewed Aug. 27, 2014)
Series
Lecture notes in mathematics (Springer-Verlag) ; 2105.
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Table of Contents
Classical Rigid Geometry
Tate Algebras
Affinoid Algebras and their Associated Spaces
Affinoid Functions
Towards the Notion of Rigid Spaces
Coherent Sheaves on Rigid Spaces
Formal Geometry
Adic Rings and their Associated Formal Schemes
Raynaud's View on Rigid Spaces
More Advanced Stuff
Appendix
References
Index.
Tate Algebras
Affinoid Algebras and their Associated Spaces
Affinoid Functions
Towards the Notion of Rigid Spaces
Coherent Sheaves on Rigid Spaces
Formal Geometry
Adic Rings and their Associated Formal Schemes
Raynaud's View on Rigid Spaces
More Advanced Stuff
Appendix
References
Index.