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Model Theory, Algebra, and Geometry

Name: Model Theory, Algebra, and Geometry
Brand: Cambridge University Press
SKU: 04090895
Price: 23090 HUF
Availability: InStock
Author: Deirdre Haskell
ISBN: 9780521143493

Deirdre Haskell

Language

English

Book Paperback

Libristo code: 04090895

Publishers Cambridge University Press, June 2010

Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and dio... Full description

Libristo code: 04090895

153 b

23 090 Ft

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Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. These applications range from a proof of the rationality of certain Poincare series associated to varieties over p-adic fields, to a proof of the Mordell-Lang conjecture for function fields in positive characteristic. In some cases (such as the latter) it is the most abstract aspects of model theory which are relevant. This book, originally published in 2000, arising from a series of introductory lectures for graduate students, provides the necessary background to understanding both the model theory and the mathematics behind these applications. The book is unique in that the whole spectrum of contemporary model theory (stability, simplicity, o-minimality and variations) is covered and diverse areas of geometry (algebraic, diophantine, real analytic, p-adic, and rigid) are introduced and discussed, all by leading experts in their fields.