The 'Arithmetic and Geometry' trimester, held at the Hausdorff
Research Institute for Mathematics in Bonn, focussed on recent work
on Serre's conjecture and on rational points on algebraic
varieties. The resulting proceedings volume provides a modern
overview of the subject for graduate students in arithmetic
geometry and Diophantine geometry. It is also essential reading for
any researcher wishing to keep abreast of the latest developments
in the field. Highlights include Tim Browning's survey on
applications of the circle method to rational points on algebraic
varieties and Per Salberger's chapter on rational points on cubic
hypersurfaces.
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