Model Theory, Algebra, and Geometry (Mathematical Sciences Research Institute Publications, Series Number 39)

ISBN 10: 0521780683 / ISBN 13: 9780521780681

Published by Cambridge University Press, 2000

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Bibliographic Details

• Title: Model Theory, Algebra, and Geometry (Mathematical Sciences Research Institute Publications, Series Number 39)
• Publisher: Cambridge University Press
• Publication Date: 2000
• Language: English
• ISBN 10: 0521780683
• ISBN 13: 9780521780681
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.

Book Description

Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. In this book, originally published in 2000, leading experts provide the necessary background to understanding the model theory and mathematics behind these applications.