Lectures on formal and rigid geometry / Siegfried Bosch.

Format:

Book

Author/Creator:

Bosch, S. (Siegfried), 1944-

Series:

Lecture notes in mathematics (Springer-Verlag) ; 2105.

Lecture notes in mathematics ; 2105

Language:

English

Subjects (All):

Geometry, Algebraic.

Analytic spaces.

Physical Description:

viii, 254 pages : illustrations ; 25 cm.

Place of Publication:

Cham, Switzerland : Springer Verlag, 2014.

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.

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.

Notes:

Includes bibliographical references and index.

ISBN:

9783319044163

3319044168

OCLC:

866931466