English

$T$-polynomial convexity and holomorphic convexity

Complex Variables 2024-03-01 v1

Abstract

We compare the TT-polynomial convexity of Guedj with holomorphic convexity away from the support of TT. In particular we show an Oka--Weil theorem for TT-polynomial convexity, as well as present a situation when the notions of TT-polynomial convexity and holomorphic convexity of XSupp TX\setminus\text{Supp }T coincide in the context of complex projective algebraic manifolds.

Keywords

Cite

@article{arxiv.2402.18692,
  title  = {$T$-polynomial convexity and holomorphic convexity},
  author = {Blake J. Boudreaux},
  journal= {arXiv preprint arXiv:2402.18692},
  year   = {2024}
}
R2 v1 2026-06-28T15:03:50.524Z