Model theory and algebraic geometry
Subtitle: an introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture
By: Elisabeth Bouscaren (ed.).
Contributors: Bouscaren, Elisabeth, 1956-
Series: Lecture notes in mathematics,; 1696; Lecture notes in mathematics (Springer-Verlag) ;; 1696.
Publisher: Springer
Published: 1998
Place of publication: Berlin; New York
Language: eng
Number of pages: 211
Subjects: Model theory; Arithmetical algebraic geometry; Mordell conjecture
Other titles: Hrushovski's proof of the geometric Mordell-Lang conjecture
Description: This introduction to the recent exciting developments in the applications of model theory to algebraic geometry, illustrated by E. Hrushovski's model-theoretic proof of the geometric Mordell-Lang Conjecture starts from very basic background and works up to the detailed exposition of Hrushovski's proof, explaining the necessary tools and results from stability theory on the way. The first chapter is an informal introduction to model theory itself, making the book accessible (with a little effort) to readers with no previous knowledge of model theory. The authors have collaborated closely to achieve a coherent and self- contained presentation, whereby the completeness of exposition of the chapters varies according to the existence of other good references, but comments and examples are always provided to give the reader some intuitive understanding of the subject.
Notes: Includes bibliographical references and index.