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arXiv · 1806.03429

Cubic hypersurfaces with positive dual defects

Katsuhisa Furukawa
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Abstract

We show that if a cubic hypersurface with positive dual defect over the complex number field is not a cone, then either the hypersurface coincides with the secant variety of the singular locus, or the hypersurface contains a linear subvariety of dimension greater than the dual defect such that the intersection of the singular locus and a general contact locus is contained in the linear subvariety.

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Katsuhisa Furukawa. 2018-06-09. Cubic hypersurfaces with positive dual defects. https://arxiv.org/abs/1806.03429

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