Model Theory, Algebra, and Geometry (Paperback or Softback)

Haskell, Deirdre

ISBN 10: 0521143497 / ISBN 13: 9780521143493

Published by Cambridge University Press 6/10/2010, 2010

Model Theory, Algebra, and Geometry. Seller Inventory # BBS-9780521143493

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.

Bibliographic Details

Title: Model Theory, Algebra, and Geometry (...
Publisher: Cambridge University Press 6/10/2010
Publication Date: 2010
Binding: Paperback or Softback
Condition: New
Book Type: Book