Singularities of convex hulls as fronts of Legendre varieties
Volume 50 / 1999
Banach Center Publications 50 (1999), 61-74
DOI: 10.4064/-50-1-61-74
Abstract
We describe singularities of the convex hull of a generic compact smooth hypersurface in four-dimensional affine space up to diffeomorphism. It turns out that the boundary of the convex hull is the front of a Legendre variety. Its singularities are classified up to contact diffeomorphism.
