Model Theory, Algebra, and Geometry Series Number 39: Model Theory, Algebra, and Geometry
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Uitgever: Cambridge University Press
Auteur:
Deidre Haskell
Anand Pillay
Co-auteur:
Charles Steinhorn
- Engels
- Hardcover
- 9780521780681
- 03 juli 2000
- 236 pagina's
Samenvatting
Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. In this book, experts provide the necessary background to understanding the model theory and mathematics behind these applications.
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.
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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- Bindwijze
- Hardcover
- Oorspronkelijke releasedatum
- 03 juli 2000
- Aantal pagina's
- 236
- Illustraties
- Nee
Betrokkenen
- Hoofdauteur
- Deidre Haskell
- Tweede Auteur
- Anand Pillay
- Co Auteur
- Charles Steinhorn
- Hoofdredacteur
- Deirdre Haskell
- Tweede Redacteur
- Pillay, Anand (University Of Illinois, Urbana-Champaign)
- Co Redacteur
- Steinhorn, Charles (Vassar College, New York)
- Hoofduitgeverij
- Cambridge University Press
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- 9780521780681
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