Decomposition of Toric Morphisms

  • Miles Reid
Part of the Progress in Mathematics book series (PM, volume 36)

Abstract

(0.1) This paper applies the ideas of Mori theory [4] to toric varieties. Let X be a projective tonic variety (over any field) constructed from a simplicial fan F. The cone of effective 1-cycles NE(X) is polyhedral (1.7), spanned by the 1-strata l w X; the condition that a 1-stratum l w gives an extremal ray R = Q + l w of NE(X) has a nice interpretation (2.10) in terms of the geometry of F around the wall w.

Keywords

Toric Variety Quotient Singularity Weighted Projective Space Weil Divisor Terminal Singularity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer Science+Business Media New York 1983

Authors and Affiliations

  • Miles Reid
    • 1
  1. 1.Mathematics InstituteUniversity of WarwickCoventryEngland

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