The openness conjecture and complex Brunn-Minkowski inequalities
Complex Variables
2014-05-06 v1 Algebraic Geometry
Abstract
We discuss recent versions of the Brunn-Minkowski inequality in the complex setting, and use it to prove the openness conjecture of Demailly and Koll\'ar.
Keywords
Cite
@article{arxiv.1405.0989,
title = {The openness conjecture and complex Brunn-Minkowski inequalities},
author = {Bo Berndtsson},
journal= {arXiv preprint arXiv:1405.0989},
year = {2014}
}
Comments
This is an account of the results in arXiv:1305.5781 together with some background material. It is based on a lecture given at the Abel symposium in Trondheim, June 2013. 13 pages