UID:
almahu_9947363760902882
Format:
VIII, 254 p.
,
online resource.
ISBN:
9783319044170
Series Statement:
Lecture Notes in Mathematics, 2105
Content:
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.
Note:
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783319044163
Language:
English
DOI:
10.1007/978-3-319-04417-0
URL:
http://dx.doi.org/10.1007/978-3-319-04417-0
