71 citations · 404 across the 38 of their papers we have counts for
4 papers · 2 filters
Curvature of vector bundles associated to holomorphic fibrations
Bo Berndtsson
Let be a (semi)-positive line bundle over a Kahler manifold, , fibered over a complex manifold . Assuming the fibers are compact and non-singular we prove that the hermit…
Asymptotics of Bergman kernels
Robert Berman, Bo Berndtsson, Johannes Sjoestrand
We give an elementary proof of the existence of an asymptotic expansion in powers of of the Bergman kernel associated to , where is a positive line bundle. We also giv…
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…
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…