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Lectures on Formal and Rigid Geometry

Lecture Notes in Mathematics 2105

Erschienen am 04.09.2014, 1. Auflage 2014
Bibliografische Daten
ISBN/EAN: 9783319044163
Sprache: Englisch
Umfang: viii, 254 S.
Einband: kartoniertes Buch

Beschreibung

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".

Autorenportrait

InhaltsangabeClassical 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.