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Asymptotic base loci on singular varieties - MaRDI portal

Asymptotic base loci on singular varieties (Q379211)

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scientific article; zbMATH DE number 6224345
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Asymptotic base loci on singular varieties
scientific article; zbMATH DE number 6224345

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    Asymptotic base loci on singular varieties (English)
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    11 November 2013
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    The authors show that the non-nef locus and the restricted base locus of a pseudoeffective divisor coincide on KLT pairs. This generalizes a result of \textit{N. Nakayama} [Zariski-decomposition and abundance. MSJ Memoirs 14. Tokyo: Mathematical Society of Japan. (2004; Zbl 1061.14018)] for big divisors on smooth varieties. The authors also generalize Russo's characterization of nef and abundant divisors to KLT pairs.
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    base loci
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    multiplier ideals
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    nef and abundant divisors
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    KLT pairs
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