Complex Brunn-Minkowski theory and positivity of vector bundles
Complex Variables
2018-07-17 v1 Differential Geometry
Abstract
This is a survey of results on positivity of vector bundles, inspired by the Brunn-Minkowski and Pr\'ekopa theorems. Applications to complex analysis, K\"ahler geometry and algebraic geometry are also discussed.
Keywords
Cite
@article{arxiv.1807.05844,
title = {Complex Brunn-Minkowski theory and positivity of vector bundles},
author = {Bo Berndtsson},
journal= {arXiv preprint arXiv:1807.05844},
year = {2018}
}
Comments
To appear in the proceedings of the ICM 2018