Point Configurations and Cayley-Menger Varieties

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dc.creatorBorcea, Ciprian S.
dc.date2002-07-12
dc.date.accessioned2026-07-07T04:49:39Z
dc.date.available2026-07-07T04:49:39Z
dc.descriptionEquivalence classes of $n$-point configurations in Euclidean, Hermitian, and quaternionic spaces are related, respectively, to classical determinantal varieties of symmetric, general, and skew-symmetric bilinear forms. Cayley-Menger varieties arise in the Euclidean case, and have relevance for mechanical linkages, polygon spaces and rigidity theory. Applications include upper bounds for realizations of planar Laman graphs with prescribed edge-lengths and examples of special Lagrangians in Calabi-Yau manifolds.
dc.identifierhttps://arxiv.org/abs/math/0207110
dc.identifierhttp://arxiv.org/abs/math/0207110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64504
dc.subjectAlgebraic Geometry
dc.subject14M12, 14P25, 14J32
dc.titlePoint Configurations and Cayley-Menger Varieties
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