Quasi-complete homogeneous contact manifold associated to a cubic form

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213198Starting 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 pagesAlgebraic Geometry14M99, 14M20, 14M17Quasi-complete homogeneous contact manifold associated to a cubic formtext