The Cayley-Menger determinant is irreducible for $n\geq 3$

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dc.creatorD'Andrea, Carlos
dc.creatorSombra, Martin
dc.date2004-06-18
dc.date.accessioned2026-07-07T05:09:21Z
dc.date.available2026-07-07T05:09:21Z
dc.descriptionWe prove that the Cayley-Menger determinant of an $n$-dimensional simplex is an absolutely irreducible polynomial for $n\geq3.$ We also study the irreducibility of polynomials associated to related geometric constructions.
dc.description7 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0406359
dc.identifierhttp://arxiv.org/abs/math/0406359
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71597
dc.subjectCommutative Algebra
dc.subjectMetric Geometry
dc.subjectPrimary 12E05; Secondary 52A38
dc.titleThe Cayley-Menger determinant is irreducible for $n\geq 3$
dc.typetext

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