Editors:
- 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- The first publication to give a complete treatment of several topics that so far existed only in unpublished notes or incomplete versions
Part of the book series: Bolyai Society Mathematical Studies (BSMS, volume 12)
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Table of contents (9 chapters)
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Front Matter
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Introduction
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Acknowledgments
About this book
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.
Editors and Affiliations
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Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary
Károly Böröczky, Tamás Szamuely
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Department of Mathematics, Princeton University, Princeton, USA
János Kollár
Bibliographic Information
Book Title: Higher Dimensional Varieties and Rational Points
Editors: Károly Böröczky, János Kollár, Tamás Szamuely
Series Title: Bolyai Society Mathematical Studies
DOI: https://doi.org/10.1007/978-3-662-05123-8
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2003
Hardcover ISBN: 978-3-540-00820-0Published: 10 July 2003
Softcover ISBN: 978-3-642-05644-4Published: 15 December 2010
eBook ISBN: 978-3-662-05123-8Published: 11 December 2013
Series ISSN: 1217-4696
Series E-ISSN: 2947-9460
Edition Number: 1
Number of Pages: II, 310
Additional Information: Jointly published with Janos Bolyai Mathematical Society
Topics: Algebraic Geometry, Combinatorics, Geometry, Number Theory