Geodesic
Tangent Spaces of a Normal Surface with Hyperelliptic Sections
Canadian journal of mathematics, Tome 36 (1984) no. 1, pp. 131-143

Voir la notice de l'article provenant de la source Cambridge University Press

A rational normal curve C of order n in [n] has, at each point P, a nest of osculating spaces as P moves on C the [n — 2] generates a primal Dn-1 of order 2n — 2.Hilbert [3] found the multiplicities on Dn-1 not only of the vμ+1 generated by Dμ for each lesser value of μ but also those of all submanifolds common to these various Dμ.A surface Φ in higher space has, as explained [4] by del Pezzo, a nest of tangent spaces of respective dimensions they raise the problem of finding the orders of manifolds generated by them and the multiplicity of each on the higher manifolds to which it belongs: the task does not seem to have been attempted, but it may well be eased if Φ is rational and normal. 
Edge, W. L. Tangent Spaces of a Normal Surface with Hyperelliptic Sections. Canadian journal of mathematics, Tome 36 (1984) no. 1, pp. 131-143. doi: 10.4153/CJM-1984-009-3
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