Complex Brunn-Minkowski theory and positivity of vector bundles
- Resource Type
- Working Paper
- Authors
- Berndtsson, Bo
- Source
- Subject
- Mathematics - Complex Variables
Mathematics - Differential Geometry
- Language
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.
Comment: To appear in the proceedings of the ICM 2018