Complex Brunn-Minkowski theory and positivity of vector bundles
Paper in proceedings, 2018

This is a survey of results on positivity of vector bundles, inspired by the BrunnMinkowski and Preoókopa theorems. Applications to complex analysis, Kähler geometry and algebraic geometry are also discussed.

fano manifolds

ricci flow

einstein metrics

Author

Bo Berndtsson

Chalmers, Mathematical Sciences, Algebra and geometry

Proceedings of the International Congress of Mathematicians, ICM 2018

Vol. 2 877-902

2018 International Congress of Mathematicians, ICM 2018
Rio de Janeiro, Brazil,

Subject Categories

Algebra and Logic

Geometry

Mathematical Analysis

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8/4/2020 1