Quasi-complete homogeneous contact manifold associated to a cubic form
Algebraic Geometry
2008-12-22 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0812.3777,
title = {Quasi-complete homogeneous contact manifold associated to a cubic form},
author = {Jun-Muk Hwang and Laurent Manivel},
journal= {arXiv preprint arXiv:0812.3777},
year = {2008}
}
Comments
9 pages