Model Theory and Algebraic Geometry

Model Theory and Algebraic Geometry An introduction to E. Hrushovski’s proof of the geometric Mordell-Lang conjecture / [electronic resource] : edited by Elisabeth Bouscaren. - XVI, 216 p. online resource. - Lecture Notes in Mathematics, 1696 0075-8434 ; . - Lecture Notes in Mathematics, 1696 .

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.

9783540685210

10.1007/978-3-540-68521-0 doi


Geometry, algebraic.
Logic, Symbolic and mathematical.
Number theory.
Algebraic Geometry.
Mathematical Logic and Foundations.
Number Theory.

QA564-609

516.35
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