Brauer groups, tamagawa measures, and rational points on algebraic varieties /
viii, 267 p. : illustrations ; 27 cm. - (Mathematical surveys and monographs ; v 198) Content notes : Introduction--
Part A. Heights--
I. The concept of a height--
II. Conjectures on the asymptotics of points of bounded height--
Part B. The Brauer group--
III. On the Brauer group of a scheme--
IV. An application: The Brauer-Manin obstruction--
Part C. Numerical experiments
V. The Diophantine equation x4+2y4=z4+4w4--
VI. Points of bounded height on cubic and quartic threefolds--
VII. On the smallest point on a diagonal cubic surface--
Appendix--
Bibliography--
Index. Algebraic Geometry. Brauer groups. Rational points (Geometry).