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 Hrushovski'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.
| Preface |
|
vii | |
| Preface to the Second Edition |
|
xi | |
|
Introduction to the Model Theory of Fields |
|
|
1 | (40) |
|
|
|
Model Theory of Differential Fields |
|
|
41 | (70) |
|
|
|
Differential Algebraic Groups and the Number of Countable Differentially Closed Fields |
|
|
111 | (24) |
|
|
|
Some Model Theory of Separably Closed Fields |
|
|
135 | (18) |
|
|
| Index |
|
153 | |
David Marker is a professor at the University of Illinois, Chicago. His research includes model theory and its applications to real algebraic and analytic geometry, exponentiation, and differential algebra. Margit Messmer is a professor at the University of Illinois, Urbana-Champaign. Her research interests include mathematical logic and model theory. Anand Pillay is also a professor at the University of Illinois, Urbana-Champaign. His research interests include model theory and applications to algebra, geometry and number theory.
