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 comp...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.展开更多
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 FundationNational Natural Science Foundation of China (Grant No. 10871145)
文摘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.