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Arithmetic Geometry

Overview of attention for book
Cover of 'Arithmetic Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Some Historical Notes
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    Chapter 2 Finiteness Theorems for Abelian Varieties over Number Fields
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    Chapter 3 Group Schemes, Formal Groups, and p-Divisible Groups
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    Chapter 4 Abelian Varieties over ℂ
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    Chapter 5 Abelian Varieties
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    Chapter 6 The Theory of Height Functions
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    Chapter 7 Jacobian Varieties
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    Chapter 8 Néron Models
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    Chapter 9 Siegel Moduli Schemes and Their Compactifications over ℂ
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    Chapter 10 Heights and Elliptic Curves
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    Chapter 11 Lipman’s Proof of Resolution of Singularities for Surfaces
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    Chapter 12 An Introduction to Arakelov Intersection Theory
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    Chapter 13 Minimal Models for Curves over Dedekind Rings
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    Chapter 14 Local Heights on Curves
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    Chapter 15 A Higher Dimensional Mordell Conjecture
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    Chapter 16 Erratum to: Erratum
Attention for Chapter 6: The Theory of Height Functions
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