CHF 190.00

Rational And Nearly Rational Varieties

English · Paperback / Softback

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Klappentext The most basic algebraic varieties are the projective spaces, and rational varieties are their closest relatives. In many applications where algebraic varieties appear in mathematics and the sciences, we see rational ones emerging as the most interesting examples. The authors have given an elementary treatment of rationality questions using a mix of classical and modern methods. Arising from a summer school course taught by János Kollár, this book develops the modern theory of rational and nearly rational varieties at a level that will particularly suit graduate students. There are numerous examples and exercises, all of which are accompanied by fully worked out solutions, that will make this book ideal as the basis of a graduate course. It will act as a valuable reference for researchers whilst helping graduate students to reach the point where they can begin to tackle contemporary research problems. Zusammenfassung Arising from a summer school course! this book develops the modern theory of rational varieties at a level that will particularly suit graduate students. The authors have written a state-of-the-art treatment with numerous exercises and solutions to help students reach the stage where they can begin to tackle contemporary research. Inhaltsverzeichnis Introduction; 1. Examples of rational varieties; 2. Cubic surfaces; 3. Rational surfaces; 4. Nonrationality and reduction modulo p; 5. The Noether-Fano method; 6. Singularities of pairs; 7. Solutions to exercises.

Product details

Authors János Kollár, Smith Karen E., Corti Alessio, Janos Kollar, Karen E. Smith, Alessio Corti
Publisher Cambridge University Press Academic
 
Content Book
Product form Paperback / Softback
Publication date 01.04.2004
Subject Natural sciences, medicine, IT, technology > Mathematics > Geometry
 
EAN 9780521832076
ISBN 978-0-521-83207-6
Dimensions (packing) 15.6 x 23.5 x 1.7 cm
 
Series Cambridge Studies in Advanced Mathematics
Cambridge Studies in Advanced > 92
Cambridge Studies in Advanced Mathematics
Subjects MATHEMATICS / Geometry / Algebraic
MATHEMATICS / Topology
Topology
Algebraic Geometry
 

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