Model Theory and Algebraic Geometry An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bouscaren, Elisabeth (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Edition: 1st ed. 1998.
• Series: Lecture Notes in Mathematics, 1696
• Subjects: Algebraic geometry.; Mathematical logic.; Number theory.; Algebraic Geometry.; Mathematical Logic and Foundations.; Number Theory.

Table of Contents:

• to model theory
• to stability theory and Morley rank
• Omega-stable groups
• Model theory of algebraically closed fields
• to abelian varieties and the Mordell-Lang conjecture
• The model-theoretic content of Lang's conjecture
• Zariski geometries
• Differentially closed fields
• Separably closed fields
• Proof of the Mordell-Lang conjecture for function fields
• Proof of Manin's theorem by reduction to positive characteristic.