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arXiv · 1902.08971

Mahler's conjecture for some hyperplane sections

Roman Karasev
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Abstract

We use symplectic techniques to obtain partial results on Mahler's conjecture about the product of the volume of a convex body and the volume of its polar. We confirm the conjecture for hyperplane sections or projections of $\ell_p$-balls or the Hanner polytopes.

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Roman Karasev. 2020-12-07. Mahler's conjecture for some hyperplane sections. https://doi.org/10.1007/s11856-021-2114-4

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