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Model Theory of Fields: Lecture Notes in Logic 5, Second Edition de David Marker

Model Theory of Fields: Lecture Notes in Logic 5, Second Edition

Autor David Marker, Margit Messmer, Anand Pillay
en Limba Engleză Hardback – 15 dec 2005
The model theory of fields is a fascinating subject stretching from Tarski's work on the decidability of the theories of the real and complex fields to Hrushovksi's recent proof of the Mordell-Lang conjecture for function fields. This volume provides an insightful introduction to this active area, concentrating on connections to stability theory.
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Specificații

ISBN-13: 9781568812816
ISBN-10: 1568812817
Pagini: 200
Ilustrații: illustrations
Dimensiuni: 152 x 229 x 18 mm
Greutate: 0.36 kg
Ediția:Revizuită
Editura: CRC Press
Colecția A K Peters/CRC Press

Cuprins

1. Introduction to the Model Theory of Fields 2. Model Theory of Differential Fields 3. Differential Algebraic Groups and the Number of Countable Differentially Closed Fields 4. Some Model Theory of Separably Closed Fields

Notă biografică

David Marker, Margit Messmer, Anand Pillay

Descriere

This book focuses on the fields of real and complex numbers and discusses connections to pure model theory and algebraic geometry. It provides a brief survey of differential Galois theory including Poizat's model theoretic proof of Kolchin's result.