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Mahlers conjecture for some hyperplane sections

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 نشر من قبل Roman Karasev
 تاريخ النشر 2019
  مجال البحث
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 تأليف Roman Karasev




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We use symplectic techniques to obtain partial results on Mahlers 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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