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arXiv · 1807.05844

Complex Brunn-Minkowski theory and positivity of vector bundles

Bo Berndtsson
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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.

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Bo Berndtsson. 2018-07-16. Complex Brunn-Minkowski theory and positivity of vector bundles. https://arxiv.org/abs/1807.05844

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