English

Bergman Kernels of Two Dimensional Monomial Polyhedra

Complex Variables 2023-03-28 v1

Abstract

We compute explicitly the Bergman kernels of all two dimensional monomial polyhedra, a class of domains including the Hartogs triangle and some of its generalizations. The kernel is computed from the representation of such domains as quotient of the product of a disc and punctured disc.

Keywords

Cite

@article{arxiv.2303.14268,
  title  = {Bergman Kernels of Two Dimensional Monomial Polyhedra},
  author = {Rasha Almughrabi},
  journal= {arXiv preprint arXiv:2303.14268},
  year   = {2023}
}
R2 v1 2026-06-28T09:32:57.250Z