English

Compact pseudoconcave sets

Complex Variables 2022-11-14 v1

Abstract

Replying to three questions posed by N. Shcherbina, we show that a compact psudoconcave set can have the core smaller than itself, that the core of a compact set must be pseudoconcave, and that it can be decomposed into compact pseudoconcave sets on which all smooth plurisubharmonic functions are constant.

Keywords

Cite

@article{arxiv.2211.05887,
  title  = {Compact pseudoconcave sets},
  author = {Zbigniew Slodkowski},
  journal= {arXiv preprint arXiv:2211.05887},
  year   = {2022}
}
R2 v1 2026-06-28T05:38:18.539Z