Higher dimensional varieties and rational points

Karoly Boroczky, Jr., Janos Kollar, Tamas Szamuely

310 pages, parution le 23/07/2003

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Résumé

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.

Contributors : C. Araujo ; J.-L. Colliot-Thélène ; O. Debarre ; B. Hassett ; S. J. Kovács ; Y. Tschinkel.

Geometry
- Rational Curves on Varieties
- Rationally Connected Varieties and Fundamental Groups
- Fano Varieties
- Families of Varieties of General Type : the Shafarevich Conjecture and Related Problems

Arithmetic
- Points rationnels sur les fibrations
- Potential Density of Rational Points on Algebraic Varieties
- Fujita's Program and Rational Points

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Karoly Boroczky, Jr., Janos Kollar, Tamas Szamuely
Parution	23/07/2003
Nb. de pages	310
Format	17 x 24
Couverture	Relié
Poids	655g
Intérieur	Noir et Blanc
EAN13	9783540008200