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arxiv: 1105.1253 · v2 · pith:ZPEP3CNYnew · submitted 2011-05-06 · 🧮 math.AG

Asymptotic base loci on singular varieties

classification 🧮 math.AG
keywords asymptoticbaselocuspairsabundantcharacterizationcoincidedivisor
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We prove that the non-nef locus and the restricted base locus of a pseudoeffective divisor coincide on KLT pairs. We also extend to KLT pairs F. Russo's characterization of nef and abundant divisors by means of asymptotic multiplier ideals.

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