Birational Geometry of Toric Varieties

  • Kenji Matsuki
Part of the Universitext book series (UTX)


This chapter is intended as a coffee break after the previous thirteen chapters of hard work. We will just play around with the tone varieties and see all the ingredients of the Mori program at work in terms of the concrete geometry of convex cones, following the paper Reid [5]. It is more of my personal note to his beautiful paper, only to “draw legs on the picture of a snake”


Toric Variety Canonical Divisor Canonical Singularity Birational Geometry Ascend Chain Condition 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Kenji Matsuki
    • 1
  1. 1.Department of Mathematics, 1395 Mathematical Science BuildingPurdue UniversityWest LafayetteUSA

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