Model Theory, Algebra, and Geometry
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Model Theory, Algebra, and Geometry by Deirdre Haskell
Book DescriptionModel 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.
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Book DetailsISBN: 9780521780681
(247mm x 174mm x 14mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 3-Jul-2000
Country of Publication: United Kingdom
Books By Author Deirdre Haskell
Stable Domination and Independence in Algebraically Closed Valued Fields, Paperback (June 2011)
This book presents research in model theory and its applications to valued fields.
Model Theory, Algebra, and Geometry, Paperback (June 2010)» View all books by Deirdre Haskell
Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.
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