A special case of mahler’s conjecture |
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Authors: | M A Lopez S Reisner |
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Institution: | (1) Department of Mathematics and Computer Science, University of Denver, Denver, CO 80208, USA mlopez@cs.du.edu, sreisner@cs.du.edu , US;(2) Department of Mathematics and School of Education-Oranim, University of Haifa, Haifa 31905, Israel reisner@mathcs2.haifa.ac.il, IL |
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Abstract: | A special case of Mahler's conjecture on the volume-product of symmetric convex bodies in n -dimensional Euclidean space is treated here. This is the case of polytopes with at most 2n+2 vertices (or facets). Mahler's conjecture is proved in this case for n≤ 8 and the minimal bodies are characterized.
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<onlinepub>7 August, 1998
<editor>Editors-in-Chief: &lsilt;a href=../edboard.html#chiefs&lsigt;Jacob E. Goodman, Richard Pollack&lsilt;/a&lsigt;
<pdfname>20n2p163.pdf
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Received May 28, 1996, and in revised form November 7, 1996. |
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