The projective geometry of Freudenthal's magic square

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dc.creatorLandsberg, J. M.
dc.creatorManivel, L.
dc.date1999-08-10
dc.date.accessioned2026-07-07T05:30:15Z
dc.date.available2026-07-07T05:30:15Z
dc.descriptionWe connect the algebraic geometry and representation theory associated to Freudenthal's magic square. We give unified geometric descriptions of several classes of orbit closures, describing their hyperplane sections and desingularizations, and interpreting them in terms of composition algebras. In particular, we show how a class of invariant quartic polynomials can be viewed as generalizations of the classical discriminant of a cubic polynomial.
dc.description30 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/9908039
dc.identifierhttp://arxiv.org/abs/math/9908039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78931
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subjectRepresentation Theory
dc.titleThe projective geometry of Freudenthal's magic square
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