English

On compacts possessing strictly plurisubharmonic functions

Complex Variables 2021-08-11 v2

Abstract

We give a geometric condition on a compact subset of a complex manifold which is necessary and sufficient for the existence of a smooth strictly plurisubharmonic function defined in a neighbourhood of this set.

Keywords

Cite

@article{arxiv.2004.14469,
  title  = {On compacts possessing strictly plurisubharmonic functions},
  author = {Nikolay Shcherbina},
  journal= {arXiv preprint arXiv:2004.14469},
  year   = {2021}
}

Comments

15 pages. Comments welcome!

R2 v1 2026-06-23T15:11:53.610Z