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.
Table of Contents
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
Marker \, David; Messmer \, Margit; Pillay \, Anand