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math.CV2005★ 3 cited
Curvature of vector bundles and subharmonicity of Bergman kernels
Bo Berndtsson
In a previous paper, \cite{Berndtsson}, we have studied a property of subharmonic dependence on a parameter of Bergman kernels for a family of weighted -spaces of holomorphic…
math.CV2005★ 5 cited
Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
Bo Berndtsson
Let be a pseudoconvex domain in $\C^k_t\times\Cn_z$ and let be a plurisubharmonic function in . For each we consider the -dimensional slice of , $D_t=\{z; (t,z…