Ehrhart's volume conjecture
id:
ehrhart-s-volume-conjecture-197-3554281
title:
Ehrhart's volume conjecture
text:
In the geometry of numbers, Ehrhart's volume conjecture gives an upper bound on the volume of a convex body containing only one lattice point in its interior. It is a kind of converse to Minkowski's theorem, which guarantees that a centrally symmetric convex body K must contain a lattice point as soon as its volume exceeds 2 n . The conjecture states that a convex body K containing only one lattice point in its interior as its barycenter cannot have volume greater than n / n ! : Equality is achi
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wiki
category slug:
encyclopedia
description:
Upper bound on the volume of a convex body containing one lattice point
original url:
https://en.wikipedia.org/wiki/Ehrhart%27s_volume_conjecture
date created:
date modified:
2023-07-15T09:42:24Z
main entity:
{"identifier":"Q25105334","url":"https://www.wikidata.org/entity/Q25105334"}
image:
fields total:
13
integrity:
14