Zilber, Boris,

Zariski Geometries : Geometry from the Logician's Point of View / Boris Zilber. - Cambridge : Cambridge University Press, 2010. - 1 online resource (224 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 360 . - London Mathematical Society Lecture Note Series ; no. 360. .

Title from publisher's bibliographic system (viewed on 16 Oct 2015).

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.

9781139107044 (ebook)

Zariski, Oscar,1899-1986
Zariski surfaces
Geometry, Algebraic

The Institute of Mathematical Sciences, Chennai, India

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