%0 Journal Article
%T Quasi-complete homogeneous contact manifold associated to a cubic form
%A Jun-Muk Hwang
%A Laurent Manivel
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0812.3777v1