On higher Gauss maps
De Poi, Pietro · Ilardi, Giovanna
Original · EN
We prove that the general fibre of the i-th Gauss map has dimension m if and only if at the general point the (i+1)-th fundamental form consists of cones with vertex a fixed Pᵐ⁻¹, extending a known theorem for the usual Gauss map. We prove this via a recursive formula for expressing higher fundamental forms. We also show some consequences of these results.
English translation
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