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  3. Rational and Nearly Rational Varieties
  • Cited by 78
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    • Publisher:
      Cambridge University Press
      Publication date:
      May 2010
      April 2004
      ISBN:
      9780511734991
      9780521832076
      DOI:
      https://doi.org/10.1017/CBO9780511734991
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.58kg, 242 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Geometry and Topology
      Series:
      Cambridge Studies in Advanced Mathematics (92)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Geometry and Topology
    Series:
    Cambridge Studies in Advanced Mathematics (92)
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    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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