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arxiv: 1101.2911 · v2 · pith:L5BNFA4Nnew · submitted 2011-01-14 · 🧮 math.CV

Lelong classes on toric varieties and a theorem of Siciak

classification 🧮 math.CV
keywords theoremamplebundleclasseslelonglinesiciaktoric
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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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