Rational points on algebraic varieties

Emmanuel Peyre (Editor), Yuri Tschinkel (Editor)

Research output: Book/ReportBook


"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."--Jacket
Original languageEnglish (US)
Place of PublicationBasel
PublisherBirkhäuser Verlag
Number of pages446
ISBN (Print)3764366125, 9780817666125, 0817666125, 9783764366124
Publication statusPublished - 2001

Publication series

NameProgress in mathematics
Volumev. 199



  • Rationaler Punkt
  • Rational points (Geometry)
  • Algebraic varieties
  • Algebraische Varietät
  • Points rationnels (Géométrie)
  • Variétés algébriques

Cite this

Peyre, E., & Tschinkel, Y. (Eds.) (2001). Rational points on algebraic varieties. (Progress in mathematics; Vol. v. 199). Basel: Birkhäuser Verlag.