Lectures on formal and rigid geometry / Siegfried Bosch.
Material type:
TextSeries: Lecture notes in mathematics ; 2105.Publication details: Switzerland : Springer, 2014.Description: viii, 254 p. ; illustrationsISBN: - 9783319044163 (soft cover : alk. paper)
- 516.35 23 B742
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 516.35 B742 (Browse shelf(Opens below)) | Available | 135839 |
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| 516.35 B726 Algebraic approach to geometry : | 516.35 B742 Neron models | 516.35 B742 Algebraic geometry and commutative algebra / | 516.35 B742 Lectures on formal and rigid geometry / | 516.35 B777 Model theory and algebraic geometry | 516.35 B823 Vector fields on singular varieties | 516.35 B864 Local cohomology : |
Includes bibliographical references and index.
1. Introduction--
2. Tate Algebras --
3. Affinoid Algebras and their Associated Spaces --
4. Affinoid Functions --
5. Towards the Notion of Rigid Spaces --
6. Coherent Sheaves on Rigid Spaces --
7. Adic Rings and their Associated Formal Schemes --
8. Raynaud's View on Rigid Spaces --
9. More Advanced Stuff --
Appendices --
References --
Index.
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.
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