Free planes in lattice sphere packings

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dc.creatorHenk, Martin
dc.date2003-08-11
dc.date.accessioned2026-07-07T05:00:18Z
dc.date.available2026-07-07T05:00:18Z
dc.descriptionWe show that for every lattice packing of $n$-dimensional spheres there exists an $(n/\log_2(n))$-dimensional affine plane which does not meet any of the spheres in their interior, provided $n$ is large enough. Such an affine plane is called a free plane and our result improves on former bounds.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0308098
dc.identifierhttp://arxiv.org/abs/math/0308098
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68290
dc.subjectMetric Geometry
dc.subject52C17; 11H31
dc.titleFree planes in lattice sphere packings
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