Model Theory of Fields
Lecture Notes in Logic 5, Second Edition
Seiten
2005
|
2nd edition
A K Peters (Verlag)
978-1-56881-281-6 (ISBN)
A K Peters (Verlag)
978-1-56881-281-6 (ISBN)
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.
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.
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.
David Marker, Margit Messmer, Anand Pillay
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
| Erscheint lt. Verlag | 15.12.2005 |
|---|---|
| Verlagsort | Natick |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 362 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| ISBN-10 | 1-56881-281-7 / 1568812817 |
| ISBN-13 | 978-1-56881-281-6 / 9781568812816 |
| Zustand | Neuware |
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