A+ CATEGORY SCIENTIFIC UNIT

Singularities of convex hulls as fronts of Legendre varieties

Volume 50 / 1999

Ilia Bogaevski 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.

Authors

  • Ilia Bogaevski

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