The projective geometry of Freudenthal's magic square

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We 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.
30 pages, LaTeX2e

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Algebraic Geometry, Differential Geometry, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/78931

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9908039
 http://arxiv.org/abs/math/9908039

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arXiv