71 citations · 404 across the 38 of their papers we have counts for
20 papers · 1 filter
Plurisubharmonic functions and real submanifolds of $\C^n$
Bo Berndtsson
We give an estimate for the volume of an analytic variety (or more generally the mass of a positive closed current) close to a real submanifold . Applications are given to the H…
Bergman kernels for Paley-Wiener spaces and Nazarov's proof of the Bourgain-Milman theorem
Bo Berndtsson
We give a general inequality for Bergman kernels of Bergman spaces defined by convex weights in $\C^n$. We also discuss how this can be used in Nazarov's proof of the Bourgain-Milm…
Complex integrals and Kuperberg's proof of the Bourgain-Milman theorem
Bo Berndtsson
We give a proof of the Bourgain-Milman theorem using complex methods. The proof is inspired by Kuperberg's, but considerably shorter.
Complex Brunn-Minkowski theory and positivity of vector bundles
Bo Berndtsson
This is a survey of results on positivity of vector bundles, inspired by the Brunn-Minkowski and Prékopa theorems. Applications to complex analysis, Kähler geometry and algebraic g…
Superforms, supercurrents, minimal manifolds and Riemannian geometry
Bo Berndtsson
Supercurrents, as introduced by Lagerberg, were mainly motivated as a way to study tropical varieties. Here we will associate a supercurrent to any smooth submanifold of . Po…
Lelong numbers and vector bundles
Bo Berndtsson
We study Lelong numbers and integrability indices for -invariant singular metrics on vector bundles over the disk.