摘要
We give a precise estimate of the Bergman kernel for the model domain defined by Ω F = “(z,w) ∈ ? n+1: Im w ? |F(z)|2 > 0”, where F = (f 1, ..., f m ) is a holomorphic map from ? n to ? m , in terms of the complex singularity exponent of F.
We give a precise estimate of the Bergman kernel for the model domain defined by Ω F={(z,w) ∈ C n+1:Im w |F (z)| 2 > 0},where F=(f 1,...,f m) is a holomorphic map from C n to C m,in terms of the complex singularity exponent of F.
基金
supported by the New Century Excellent Talent Project (Grant No. NECT-05-0380)
the Chinese Excellent Doctorate’s Degree Thesis (Grant No. 200519)Fok Ying Tung Education Fundation
National Natural Science Foundation of China (Grant No. 10871145)
