English

Asymptotic base loci on singular varieties

Algebraic Geometry 2012-10-19 v2

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.

Keywords

Cite

@article{arxiv.1105.1253,
  title  = {Asymptotic base loci on singular varieties},
  author = {Salvatore Cacciola and Lorenzo Di Biagio},
  journal= {arXiv preprint arXiv:1105.1253},
  year   = {2012}
}

Comments

Improved exposition. To appear in "Math. Z."

R2 v1 2026-06-21T18:03:40.442Z