English

Generalized Levi currents and singular loci for families of plurisubharmonic functions

Complex Variables 2022-07-12 v1

Abstract

We show how the formalism of Levi currents on complex manifolds, as introduced by Sibony, can be used to study the analytic structure of singular sets associated to families of plurisubharmonic functions, in the sense of Slodkowski.

Keywords

Cite

@article{arxiv.2207.04715,
  title  = {Generalized Levi currents and singular loci for families of plurisubharmonic functions},
  author = {Fabrizio Bianchi and Samuele Mongodi},
  journal= {arXiv preprint arXiv:2207.04715},
  year   = {2022}
}