71 citations · 404 across the 38 of their papers we have counts for
5 papers · 1 filter
Quantitative extensions of pluricanonical forms and closed positive currents
Bo Berndtsson, Mihai Paun
In this article we establish several Ohsawa-Takegoshi type theorems for twisted pluricanonical forms and metrics of adjoint $\bR$-bundles.
Bergman kernels and subadjunction
Bo Berndtsson, Mihai Păun
In this article our main result is a more complete version of the statements obtained in {\rm [6]}. One of the important technical point of our proof is an $\displaystyle L^{2\over…
Strict and non strict positivity of direct image bundles
Bo Berndtsson
This paper is a sequel to \cite{Berndtsson}. In that paper we studied the vector bundle associated to the direct image of the relative canonical bundle of a smooth Kähler morphism,…
A Bergman kernel proof of the Kawamata subadjunction theorem
Bo Berndtsson, Mihai Paun
The main purpose of the following article is to give a proof of Y. Kawamata's celebrated subadjunction theorem in the spirit of our previous work on Bergman kernels. We will use tw…
Bergman kernels and the pseudoeffectivity of relative canonical bundles
Bo Berndtsson, Mihai Paun
The main result of the present article is a (practically optimal) criterium for the pseudoeffectivity of the twisted relative canonical bundles of surjective projective maps. Our t…