Abstract
Hypersurfaces with vanishing hessian were studied systematically for the first time in the fundamental paper [78], where Gordan and Noether analyze Hesse’s claims in [90, 91] according to which these hypersurfaces should be necessarily cones.
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Russo, F. (2016). Hypersurfaces with Vanishing Hessian. In: On the Geometry of Some Special Projective Varieties . Lecture Notes of the Unione Matematica Italiana, vol 18. Springer, Cham. https://doi.org/10.1007/978-3-319-26765-4_7
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