Higher Dimensional Varieties and Rational Points

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. 

List of contents

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.

Summary

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. 

Product details

• Assisted by: Károly Böröczky (Editor), Károly Jr. Böröczky (Editor), Janos Kollar (Editor), Jáno Kollár (Editor), János Kollár (Editor), Tamas Szamuely (Editor), Szamuely Tamas (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 13.10.2010
• EAN: 9783642056444
• ISBN: 978-3-642-05644-4
• No. of pages: 310
• Dimensions: 160 mm x 18 mm x 235 mm
• Weight: 548 g
• Illustrations: II, 310 p.
• Series: Bolyai Society Mathematical Studies; Bolyai Society Mathematical Studies
• Subjects: Children's and young people's books > Young people's books from 12 years of age; Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Zahlentheorie, Geometrie, B, Diskrete Mathematik, geometry, Combinatorics, Mathematics and Statistics, Algebraic Geometry, Discrete Mathematics, Number Theory, Combinatorics & graph theory