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Rational and Nearly Rational Varieties

Rational and Nearly Rational Varieties

$131.00 (C)

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: May 2004
  • availability: Available
  • format: Hardback
  • isbn: 9780521832076

$ 131.00 (C)

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About the Authors
  • Arising from a summer school course taught by János Kollár, this book develops the modern theory of rational varieties at a level appropriate for graduate study. Kollár's original course has been developed, with his co-authors, into a state-of-the-art treatment of the classification of algebraic varieties. The authors have included numerous exercises with solutions, which help students reach the stage where they can begin to tackle related contemporary research problems.

    • Over one hundred exercises with fully worked out solutions
    • First elementary treatment of rationality questions
    • Mixture of classical and modern methods
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    Reviews & endorsements

    '… 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.' Zentralblatt MATH

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    Product details

    • Date Published: May 2004
    • format: Hardback
    • isbn: 9780521832076
    • length: 242 pages
    • dimensions: 236 x 156 x 19 mm
    • weight: 0.58kg
    • availability: Available
  • Table of Contents

    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.

  • Authors

    János Kollár, Princeton University, New Jersey

    Karen E. Smith, University of Michigan, Ann Arbor

    Alessio Corti, University of Cambridge

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