Böröczky, Károly Jr., Kollár, János, Tamas, Szamuely (Eds.)
Jointly published with Janos Bolyai Mathematical Society
2003, II, 310 p.
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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.
Content Level »Research
Keywords »Abelian varieties and schemes - Area - Heights - Homotopy theory, fundamental groups - Rational points - Volume - algebraic varieties
C. Araujo and J. Kollár: Rational Curves on Varieties. J.-L. Colliot-Thélène: Points rationnels sur les fibrations. O. Debarre: Fano Varieties. B. Hassett: Density of Rational Points on K3 Surfaces and their Symmetric Products. J. Kollár: Rationally Connected Varieties and Fundamental Groups. S. J. Kovács: Families of Varieties of General Type: The Shafarevich Conjecture and Related Problems. Y. Tschinkel: Fujita's Program and Rational Points.