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arXiv · 1412.5321

A letter: The log-Brunn-Minkowski inequality for complex bodies

Liran Rotem
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Abstract

In this short note we explain why the log-Brunn-Minkowski conjecture is correct for complex convex bodies. We do this by relating the conjecture to the notion of complex interpolation, and appealing to a general theorem by Cordero-Erausquin.

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Liran Rotem. 2014-12-17. A letter: The log-Brunn-Minkowski inequality for complex bodies. https://arxiv.org/abs/1412.5321

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