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

Haskell, Deirdre

 
9780521143493: Model Theory, Algebra, and Geometry: 39 (Mathematical Sciences Research Institute Publications, Series Number 39)

Sinopsis

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.

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9780521780681: Model Theory, Algebra, and Geometry Hardback: 39 (Mathematical Sciences Research Institute Publications, Series Number 39)

Edición Destacada

ISBN 10:  0521780683 ISBN 13:  9780521780681
Editorial: Cambridge University Press, 2000
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