Abstract
Introduction Heights The concept of a height Conjectures on the asymptotics of points of bounded height The Brauer group On the Brauer group of a scheme An application: The Brauer-Manin obstruction Numerical experiments The Diophantine equation x4+2y4=z4+4w4 Points of bounded height on cubic and quartic threefolds On the smallest point on a diagonal cubic surface Appendix Bibliography Index
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