Exploring the connections between arithmetic and geometric
properties of algebraic varieties has been the object of much
fruitful study for a long time, especially in the case of curves.
The aim of the Summer School and Conference on "Higher Dimensional
Varieties and Rational Points" held in Budapest, Hungary during
September 2001 was to bring together students and experts from the
arithmetic and geometric sides of algebraic geometry in order to
get a better understanding of the current problems, interactions
and advances in higher dimension. The lecture series and conference
lectures assembled in this volume give a comprehensive introduction
to students and researchers in algebraic geometry and in related
fields to the main ideas of this rapidly developing area.
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