Lectures on Formal and Rigid Geometry

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Sprache: Englisch

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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".

Über den Autor

Siegfried Bosch, Universität Münster, Germany.

Zusammenfassung

Provides rapid access to advanced Rigid Geometry

Offers self-contained content

Includes Tate's classical theory, as well as Raynaud's approach using formal schemes

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2014
Fachbereich:	Geometrie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Lecture Notes in Mathematics
Inhalt:	viii 254 S.
ISBN-13:	9783319044163
ISBN-10:	3319044168
Sprache:	Englisch
Herstellernummer:	86355271
Einband:	Kartoniert / Broschiert
Autor:	Bosch, Siegfried
Hersteller:	Springer Palgrave Macmillan Springer International Publishing AG Lecture Notes in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 15 mm
Von/Mit:	Siegfried Bosch
Erscheinungsdatum:	04.09.2014
Gewicht:	0,406 kg