Rational Points on Algebraic Varieties
By: edited by Emmanuel Peyre, Yuri Tschinkel
Contributors: Tschinkel, Yuri
Series: Progress in Mathematics -- 199; Progress in Mathematics -- 199.
Publisher: Birkhäuser Basel; Imprint; Birkhäuser
Published: 2001
Place of publication: Basel
Language: eng
Format: [electronic resource] /
Number of pages: 446
ISBN-13: 9783034883689
Subjects: Mathematics
Description: This book is devoted to the study of rational and integral points on higher-dimensional algebraic varieties. It contains carefully selected research papers addressing the arithmetic geometry of varieties which are not of general type, with an emphasis on how rational points are distributed with respect to the classical, Zariski and adelic topologies. The present volume gives a glimpse of the state of the art of this rapidly expanding domain in arithmetic geometry. The techniques involve explicit geometric constructions, ideas from the minimal model program in algebraic geometry as well as analytic number theory and harmonic analysis on adelic groups.