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arxiv: 1807.05844 · v1 · pith:ICXNOGGBnew · submitted 2018-07-16 · 🧮 math.CV · math.DG

Complex Brunn-Minkowski theory and positivity of vector bundles

classification 🧮 math.CV math.DG
keywords brunn-minkowskibundlescomplexgeometrypositivityvectorahleralgebraic
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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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