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

Sam Payne
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Abstract

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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Sam Payne. 2005-10-31. Stable base loci, movable curves, and small modifications, for toric varieties. https://arxiv.org/abs/math/0506622

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