Lectures on Resolution of Singularities by Janos Kollar

Lectures on Resolution of Singularities

Janos Kollar
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  • ISBN
    9780691129235 / 0691129231
  • Title Lectures on Resolution of Singularities
  • Author Janos Kollar
  • Category Algebraic Geometry
  • Format
  • Year 2007
  • Pages 208
  • Publisher
    Princeton University Press
  • Imprint Princeton University Press
  • Language English
  • Dimensions 150mm x 14mm x 221mm


Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, Janos Kollar provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. Kollar goes back to the original sources and presents them in a modern context. He addresses three methods for surfaces, and gives a self-contained and entirely elementary proof of a strong and functorial resolution in all dimensions. Based on a series of lectures at Princeton University and written in an informal yet lucid style, this book is aimed at readers who are interested in both the historical roots of the modern methods and in a simple and transparent proof of this important theorem.

Author Biography

Janos Kollar is a professor of Mathematics at Princeton University.

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Lectures on Resolution of Singularities