Stable base loci, movable curves, and small modifications, for toric varieties

Details Stable base loci, movable curves, and small modifications, for toric varieties Stable base loci, movable curves, and small modifications, for toric varieties

2005-06-30

arxiv.org/abs/math/0506622v2

Math. Z. 253 (2006), no. 2, 421--431.

Mathematics

Algebraic Geometry

10 pages, 1 figure. v2: minor expository changes. To appear in Math. Z

Scientific paper

We show that the dual of the cone of divisors on a complete Q-factorial toric
variety X whose stable base loci have dimension less than k is generated by
curves on small modifications that move in families sweeping out the birational
transforms of k-dimensional subvarieties of X. We give an example showing that
it does not suffice to consider curves on X itself.

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