A special case of Mahler's conjecture

M. A. Lopez; S. Reisner

doi:10.1007/PL00000076

A special case of Mahler's conjecture

M. A. Lopez
, S. Reisner

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	163-177
Number of pages	15
Journal	Discrete and Computational Geometry
Volume	20
Issue number	2
DOIs	https://doi.org/10.1007/PL00000076
State	Published - Sep 1998

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1007/PL00000076

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title = "A special case of Mahler's conjecture",

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.",

author = "Lopez, \{M. A.\} and S. Reisner",

year = "1998",

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AB - 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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U2 - 10.1007/PL00000076

DO - 10.1007/PL00000076

M3 - Article

AN - SCOPUS:0032376337

SN - 0179-5376

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JO - Discrete and Computational Geometry

JF - Discrete and Computational Geometry

IS - 2

ER -

A special case of Mahler's conjecture

Abstract

ASJC Scopus subject areas

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