Abstract
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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Acknowledgments
We are deeply grateful to Prof. Angelo Felice Lopez for proposing us the problem and for many helpful discussions. We also wish to thank Prof. Tommaso de Fernex for some useful conversations, Prof. Sébastien Boucksom for suggesting us a simpler proof of Proposition 4.2 and the anonymous referee for many valuable suggestions.
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Cacciola, S., Di Biagio, L. Asymptotic base loci on singular varieties. Math. Z. 275, 151–166 (2013). https://doi.org/10.1007/s00209-012-1128-3
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DOI: https://doi.org/10.1007/s00209-012-1128-3