Decomposition of Toric Morphisms
(0.1) This paper applies the ideas of Mori theory  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.
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