Asymptotic base loci on singular varieties

Mathematics – Algebraic Geometry

Scientific paper

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14 pages

Scientific paper

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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