On the hypersurfaces contained in their Hessian

Pietro De Poi, Giovanna Ilardi

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.

Keywords


Keywords and phrases: Hessian; h-parabolic points; focal points

Mathematics Subject Classification (2010)


Primary 14J70. Secondary 14N05; 53A30

References


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