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Arithmetic of Higher-Dimensional Algebraic Varieties

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Cover of 'Arithmetic of Higher-Dimensional Algebraic Varieties'

Table of Contents

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    Book Overview
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    Chapter 1 Diophantine Equations: Progress And Problems
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    Chapter 2 Rational Points and Analytic Number Theory
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    Chapter 3 Weak Approximation on Algebraic Varieties
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    Chapter 4 Counting Points On Varieties Using Universal Torsors
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    Chapter 5 The Cox Ring of a Del Pezzo Surface
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    Chapter 6 Counting Rational Points On Threefolds
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    Chapter 7 Remarques Sur L’Approximation Faible Sur Un Corps De Fonctions D’Une Variable
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    Chapter 8 K3 Surfaces Over Number Fields with Geometric Picard Number One
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    Chapter 9 Jumps in Mordell-Weil Rank and Arithmetic Surjectivity
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    Chapter 10 Universal Torsors and Cox Rings
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    Chapter 11 Random Diophantine Equations
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    Chapter 12 Descent on Simply Connected Surfaces Over Algebraic Number Fields
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    Chapter 13 Rational Points on Compactifications of Semi-Simple Groups of Rank 1
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    Chapter 14 Weak Approximation on Del Pezzo Surfaces of Degree 4
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    Chapter 15 Transcendental Brauer-Manin Obstruction on a Pencil Of Elliptic Curves
Attention for Chapter 10: Universal Torsors and Cox Rings
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