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Model Theory and Algebraic Geometry

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Cover of 'Model Theory and Algebraic Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction to model theory
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    Chapter 2 Introduction to stability theory and Morley rank
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    Chapter 3 Omega-stable groups
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    Chapter 4 Model theory of algebraically closed fields
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    Chapter 5 Introduction to abelian varieties and the Mordell-Lang conjecture
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    Chapter 6 The model-theoretic content of Lang’s conjecture
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    Chapter 7 Zariski geometries
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    Chapter 8 Differentially closed fields
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    Chapter 9 Separably closed fields
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    Chapter 10 Proof of the Mordell-Lang conjecture for function fields
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    Chapter 11 Proof of Manin’s theorem by reduction to positive characteristic
Attention for Chapter 6: The model-theoretic content of Lang’s conjecture
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