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 poly topes 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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M. A. Lopez has been partially supported by the National Science Foundation under Grant DMS-9626749 and by the Colorado Advanced Software Institute under Grant TT-9706. S. Reisner has been partially supported by the National Science Foundation under Grant DMS-9626749 and by the France-Israel Arc-en-Ciel program.
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Lopez, M.A., Reisner, S. A special case of mahler’s conjecture. Discrete Comput Geom 20, 163–177 (1998). https://doi.org/10.1007/PL00000076
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DOI: https://doi.org/10.1007/PL00000076