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

## TL;DR

This paper analyzes the boundary asymptotics of the Bergman kernel, metric, and curvatures in weakly pseudoconvex domains, providing explicit descriptions near specific boundary points.

## Contribution

It offers an explicit characterization of the boundary behavior of key invariants in weakly pseudoconvex domains near certain boundary points.

## Key findings

- Explicit boundary asymptotics of the Bergman kernel
- Descriptions of Bergman metric and curvatures near boundary points
- Insights into geometric invariants in complex analysis

## 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 $h$-extendible boundary point.