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Published online by Cambridge University Press: 24 October 2008
1. In this note we investigate, from a new point of view, some properties of cubic primals in [4]. These are enunciated by Fano as follows.
* Fano, , “Sulle superficie algebriche contenute in una varietà cubica dello spazio a quattro dimensioni”, Atti Torino 39 (1903–1904), 597.Google Scholar
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* White, F. P., “The projective generation of curves and surfaces in space of four dimensions”, Proc. Camb. Phil. Soc. 21 (1922) 216–227 (219).Google Scholar
† Segre, loc. cit. § 14.
‡ The surfaces on M corresponding to the curves of order μ in π form an algebraic system which, since M is rational, belongs to a linear system.
* Severi, , “Fondamenti per la geometria sulle varietà algebriche”, Rend. Palermo 28 (1909), 33–87 (§2).CrossRefGoogle Scholar
† Consideration of a prime section of M shows that A n + Ψ ≡ F is false.