Lelong classes on toric varieties and a theorem of Siciak

Mathematics – Complex Variables

Scientific paper

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Modified title: added a counterexample; remove section on currents

Scientific paper

We characterize Lelong classes on a toric manifold with an ample torus
invariant line bundle, generalizing an approximation theorem due to Siciak. We
include a counterexample to the theorem when the line bundle is globally
generated, but not ample.

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