A letter: The log-Brunn-Minkowski inequality for complex bodies
classification
🧮 math.MG
math.FA
keywords
complexbodiesconjecturelog-brunn-minkowskiappealingconvexcordero-erausquincorrect
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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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