K-equivalence in Birational Geometry

  title={K-equivalence in Birational Geometry},
  author={C H Wang},
In this article we survey the background and recent development on the Kequivalence relation among birational manifolds. The content is based on the author’s talk at ICCM-2001 at Taipei. I would like to dedicate this article to Professor Chern, Shiing-shen to celebrate his 90th birthday. For manifolds, K-equivalence is the same as c1-equivalence. In this sense, a major part of birational geometry is really to understand the geometry of the first Chern class. After a brief historical sketch of… CONTINUE READING