Bergman kernel and complex singularity exponent

Bo-Yong Chen, Hanjin Lee

We give a precise estimate of the Bergman kernel for the model domain defined by ${\Omega }_F=\{(z,w)\in {\mathbb{C}}^{n+1}:\mathrm{Im}w-|F(z){|}^2>0\},$ where $F=(f_1,...,f_m)$ is a holomorphic…