Quasi-complete homogeneous contact manifold associated to a cubic form

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Starting from a cubic form, we give a general construction of a quasi-complete homogeneous manifold endowed with a natural contact structure. We show that it can be compactified into a projective contact manifold if and only if the cubic form is the determinant of a simple cubic Jordan algebra.
9 pages

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Algebraic Geometry, 14M99, 14M20, 14M17

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http://salesiana.dossiersoluciones.com/handle/123456789/213198

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.3777
 http://arxiv.org/abs/0812.3777

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arXiv