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Fundamentals of Diophantine Geometry

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Cover of 'Fundamentals of Diophantine Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Absolute Values
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    Chapter 2 Proper Sets of Absolute Values. Divisors and Units
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    Chapter 3 Heights
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    Chapter 4 Geometric Properties of Heights
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    Chapter 5 Heights on Abelian Varieties
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    Chapter 6 The Mordell-Weil Theorem
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    Chapter 7 The Thue-Siegel-Roth Theorem
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    Chapter 8 Siegel’s Theorem and Integral Points
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    Chapter 9 Hilbert’s Irreducibility Theorem
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    Chapter 10 Weil Functions and Néron Divisors
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    Chapter 11 Néron Functions on Abelian Varieties
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    Chapter 12 Algebraic Families of Néron Functions
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    Chapter 13 Néron Functions Over the Complex Numbers
Attention for Chapter 5: Heights on Abelian Varieties
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