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  1. Home
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  3. Rational and Nearly Rational Varieties
  • Cited by 66
Publisher:
Cambridge University Press
Online publication date:
May 2010
Print publication year:
2004
Online ISBN:
9780511734991
DOI:
https://doi.org/10.1017/CBO9780511734991
Subjects:
Mathematics (general), Mathematics, Geometry and Topology
Series:
Cambridge Studies in Advanced Mathematics (92)
Information

Book description

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.

Reviews

'… a beautiful and ample introduction to the interesting topic of rational and 'nearly rational' varieties and it will be a valuable reference for a wide audience.'

Source: Zentralblatt MATH

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