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arXiv · 0911.4169

Bergman kernel and complex singularity exponent

Bo-Yong Chen·Hanjin Lee
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Abstract

We give a precise estimate of the Bergman kernel for the model domain defined by $\Omega_F=\{(z,w)\in \mathbb{C}^{n+1}:{\rm Im}w-|F(z)|^2>0\},$ where $F=(f_1,...,f_m)$ is a holomorphic map from $\mathbb{C}^n$ to $\mathbb{C}^m$, in terms of the complex singularity exponent of $F$.

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Bo-Yong Chen, Hanjin Lee. 2009-11-21. Bergman kernel and complex singularity exponent. https://doi.org/10.1007/s11425-009-0033-7

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