#39: Model Theory, Algebra, and Geometry

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MSRI Publications -- Volume 39

Model Theory, Algebra, and Geometry

Edited by Deirdre Haskell, Anand Pillay, and Charles Steinhorn

Contents

Front matter (front page, copyright page)
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Table of Contents
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Overview, by Anand Pillay, Charles Steinhorn, and Deirdre Haskell, 1-13
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Introduction to Model Theory, by David Marker, 15-35
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Classical Model Theory of Fields, by Lou van den Dries, 37-52
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Model Theory of Differential Fields, by David Marker, 53-63
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A Survey on the Model Theory of Difference Fields, by Zoé Chatzidakis, 65-96
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Notes on o-Minimality and Variations, by Dugald Macpherson, 97-130
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Stability Theory and its Variants, by Bradd Hart, 131-149
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Subanalytic Geometry, by Edward Bierstone and Pierre D. Milman, 151-172
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Arithmetic and Geometric Applications of Quantifier Elimination for Valued Fields, by Jan Denef, 173-198
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Abelian Varieties and the Mordell-Lang Conjecture, by Barry Mazur, 199-227
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