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Birational Geometry

  • Karen E. Smith
  • Lauri Kahanpää
  • Pekka Kekäläinen
  • William Traves
Part of the Universitext book series (UTX)

Abstract

In 1964, Heisuke Hironaka proved a fundamental theorem: Every quasi-projective variety can be desingularized, or equivalently, every variety is “birationally equivalent” to a smooth projective variety. Before we can state this theorem, we need to introduce some new ideas.

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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Karen E. Smith
    • 1
  • Lauri Kahanpää
    • 2
  • Pekka Kekäläinen
    • 3
  • William Traves
    • 4
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA
  2. 2.Department of MathematicsUniversity of JyvaeskylaeJyvaeskylaeFinland
  3. 3.Department of Computer Science and Applied MathematicsUniversity of KuopioKuopioFinland
  4. 4.US Naval AcademyAnnapolisUSA

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