English

Asymptotic behavior of the Bergman kernel and associated invariants in weakly pseudoconvex domains

Complex Variables 2026-01-21 v3

Abstract

In this paper, we present an explicit description for the boundary behavior of the Bergman kernel function, the Bergman metric, and the associated curvatures along certain sequences converging to an hh-extendible boundary point.

Keywords

Cite

@article{arxiv.2509.00301,
  title  = {Asymptotic behavior of the Bergman kernel and associated invariants in weakly pseudoconvex domains},
  author = {Ninh Van Thu},
  journal= {arXiv preprint arXiv:2509.00301},
  year   = {2026}
}

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27 pages