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Zariski Geometries
Geometry from the Logician's Point of View

$72.00 USD

Part of London Mathematical Society Lecture Note Series

  • Date Published: December 2011
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781139118767

$ 72.00 USD
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About the Authors
  • 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.

    • Contains survey material as well as detailed mathematical proofs
    • Assumes no specialist background in logic
    • Over 50 exercises help the reader test their understanding of the material
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    Reviews & endorsements

    '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

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    Product details

    • Date Published: December 2011
    • format: Adobe eBook Reader
    • isbn: 9781139118767
    • contains: 50 exercises
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • 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.

  • Author

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

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