Mahler's conjecture for some hyperplane sections

preprint2020arXivOpen access

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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Mahler's conjecture for some hyperplane sections

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