English

Polynomial convexity with degree bounds

Complex Variables 2024-03-22 v1

Abstract

We introduce different notions of polynomial convexity with bounds on degrees of polynomials in Cn\mathbb C^n. We provide some examples in higher dimensions and show necessary and sufficient conditions for polynomial convexity with degree bounds for certain sets of points in C\mathbb C and for certain arcs in the unit circle.

Keywords

Cite

@article{arxiv.2403.14529,
  title  = {Polynomial convexity with degree bounds},
  author = {Marko Slapar},
  journal= {arXiv preprint arXiv:2403.14529},
  year   = {2024}
}
R2 v1 2026-06-28T15:28:49.777Z