Zariski Geometries: Geometry from the Logician's Point of View
Author:   Boris Zilber (University of Oxford)
Publisher:   Cambridge University Press
Volume:   360
ISBN:  

9781139107044


Publication Date:   07 September 2011
Format:   Undefined
Availability:   Available To Order   Availability explained
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Zariski Geometries: Geometry from the Logician's Point of View


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Overview

This book presents methods and results from the theory of Zariski structures and discusses their applications in geometry as well as various other mathematical fields. Its logical approach helps us understand why algebraic geometry is so fundamental throughout mathematics and why the extension to noncommutative geometry, which has been forced by recent developments in quantum physics, is both natural and necessary. Beginning with a crash course in model theory, this book will suit not only model theorists but also readers with a more classical geometric background.

Full Product Details

Author:   Boris Zilber (University of Oxford)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
Volume:   360
ISBN:  

9781139107044


ISBN 10:   1139107046
Publication Date:   07 September 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

1. Introduction; 2. Topological structures; 3. Noetherian Zariski structures; 4. Classification results; 5. Non-classical Zariski geometries; 6. Analytic Zariski geometries; A. Basic model theory; B. Geometric stability theory; References; Index.

Reviews

'With a combination of hard mathematics and profound insights, the book makes a compelling case for the study of Zariski geometries and is highly recommended.' David Evans, Bulletin of the London Mathematical Society


Author Information

Boris Zilber is Professor of Mathematical Logic in the Mathematical Institute at the University of Oxford.

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