Model Theory, Algebra, and Geometry - Couverture rigide

Couverture rigide

ISBN 10 : 0521780683 ISBN 13 : 9780521780681

Editeur : Cambridge University Press, 2000

Synopsis

Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.

A propos du livre

Présentation de l'éditeur

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.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2000
• ISBN 10: 0521780683
• ISBN 13: 9780521780681
• Reliure: Relié
• Langue: anglais
• Nombre de pages: 236
• Éditeur: Haskell Deirdre, Pillay Anand, Steinhorn Charles
• Coordonnées du fabricant: non disponible