Limit search to available items
Book Cover
Author Zilber, Boris

Title Zariski geometries : geometry from the logician's point of view / Boris Zilber
Published New York : Cambridge University Press, 2010


Description 1 online resource (xi, 212 pages)
Series London Mathematical Society lecture note series ; 360
London Mathematical Society lecture note series ; 360.
Contents Introduction -- Topological structures -- Noetherian Zariski structures -- Classification results -- Non-classical Zariski geometries -- Analytic Zariski geometries -- Basic model theory -- Geometric stability theory -- References -- Index
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. 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"--Provided by publisher
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Zariski, Oscar, 1899-1986.
Zariski, Oscar, 1899-1986.
Zariski surfaces.
Geometry, Algebraic.
MATHEMATICS -- Geometry -- Algebraic.
Geometry, Algebraic.
Zariski surfaces.
Form Electronic book
ISBN 9781139127257