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Bergman kernels of Monomial Polyhedra

Complex Variables 2023-08-14 v1

Abstract

The Bergman kernels of monomial polyhedra are explicitly computed. Monomial polyhedra are a class of bounded pseudoconvex Reinhardt domains defined as sublevel sets of Laurent monomials. Their kernels are rational functions and are obtained by an application of Bell's transformation formula.

Keywords

Cite

@article{arxiv.2308.05834,
  title  = {Bergman kernels of Monomial Polyhedra},
  author = {Debraj Chakrabarti and Isaac Cinzori and Ishani Gaidhane and Jonathan Gregory and Mary Wright},
  journal= {arXiv preprint arXiv:2308.05834},
  year   = {2023}
}
R2 v1 2026-06-28T11:53:13.042Z