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Zariski geometries : geometry from the logician's point of view

Author: Boris Zilber
Publisher: New York : Cambridge University Press, 2010.
Series: London Mathematical Society lecture note series, 360.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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.  Read more...
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Named Person: Oscar Zariski; Oscar Zariski
Document Type: Book
All Authors / Contributors: Boris Zilber
ISBN: 9780521735605 0521735602
OCLC Number: 456420719
Description: xi, 212 pages ; 23 cm.
Contents: Introduction --
Topological structures --
Noetherian Zariski structures --
Classification results --
Non-classical Zariski geometries --
Analytic Zariski geometries --
Basic model theory --
Geometric stability theory --
References --
Index.
Series Title: London Mathematical Society lecture note series, 360.
Responsibility: Boris Zilber.

Abstract:

Methods and results from the theory of Zariski structures, and their applications in geometry.  Read more...

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'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 Read more...

 
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