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Higher Dimensional Varieties and Rational Points de Károly Jr. Böröczky

Higher Dimensional Varieties and Rational Points: Bolyai Society Mathematical Studies, cartea 12

Editat de Károly Jr. Böröczky, János Kollár, Szamuely Tamas
en Limba Engleză Hardback – 10 iul 2003
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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Specificații

ISBN-13: 9783540008200
ISBN-10: 3540008209
Pagini: 324
Ilustrații: II, 310 p.
Dimensiuni: 178 x 254 x 23 mm
Greutate: 0.77 kg
Ediția:2003
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Bolyai Society Mathematical Studies

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

 
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. 

Caracteristici

A collection of outstanding articles from the Summer School and Conference on "Higher Dimensional Varieties and Rational Points", Budapest, Sept. 2001 Authors include: C. Araujo, J.-L. Colliot-Thélène, O. Debarre, B. Hasset, J. Kollár, S. J. Kovács, Y. Tschinkel The first book to describes the currently emerging interface between higher dimensional birational geometry and the arithmetic of algebraic varieties Presents several new results The first publication to give a complete treatment of several topics that so far existed only in unpublished notes or incomplete versions