Asymptotic base loci on singular varieties
Salvatore Cacciola, Lorenzo Di Biagio
TL;DR
This paper establishes the equivalence of non-nef and restricted base loci on KLT pairs and extends Russo's characterization of nef and abundant divisors using asymptotic multiplier ideals.
Contribution
It proves the coincidence of non-nef and restricted base loci on KLT pairs and generalizes Russo's characterization to this setting.
Findings
Non-nef locus and restricted base locus coincide on KLT pairs.
Extended Russo's characterization of nef and abundant divisors.
Utilized asymptotic multiplier ideals in the analysis.
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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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Algebraic structures and combinatorial models