Quasi-complete homogeneous contact manifold associated to a cubic form

Details Quasi-complete homogeneous contact manifold associated to a cubic form Quasi-complete homogeneous contact manifold associated to a cubic form

2008-12-19

arxiv.org/abs/0812.3777v1

Mathematics

Algebraic Geometry

9 pages

Scientific paper

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.

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