Model Theory and Algebraic Geometry [electronic resource] : An introduction to E. Hrushovski’s proof of the geometric Mordell-Lang conjecture / edited by Elisabeth Bouscaren.

Contributor(s): Bouscaren, Elisabeth [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1696Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1998Description: XVI, 216 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540685210Subject(s): Mathematics | Geometry, algebraic | Logic, Symbolic and mathematical | Number theory | Mathematics | Algebraic Geometry | Mathematical Logic and Foundations | Number TheoryAdditional physical formats: Printed edition:: No titleDDC classification: 516.35 LOC classification: QA564-609Online resources: Click here to access online
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.
In: Springer eBooks
Item type: E-BOOKS
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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.

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