On the hypersurfaces contained in their Hessian

Abstract

This article presents the theory of focal locus applied to the hypersurfaces in the projective space which are (finitely) covered by linear spaces and such that the tangent space is constant along these spaces.

11 pages

References in corpus (2)

• On varieties with higher osculating defect
• On the theory of Gordan-Noether on homogeneous forms with zero Hessian (Improved version)