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A symmetrical configuration of n + 1 rational normal curves in [2n]

Published online by Cambridge University Press:  24 October 2008

D. W. Babbage
Affiliation:
Magdalene College

Extract

This paper is concerned with the extension to [2n] of a well-known symmetrical configuration in [4], namely, that of three rational quartic curves, with six points in common, having the property that a trisecant plane of any one which meets a second also meets the third.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1937

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References

REFERENCES

(1)Babbage, D. W.Extension of a theorem of C. G. F. James”, Proc. Camb. Phil. Soc. 28 (1932), 421–6.CrossRefGoogle Scholar
(2)James, C. G. F.Extensions of a theorem of Segre's, and their natural position in space of seven dimensions”, Proc. Camb. Phil. Soc. 21 (1923), 664–84.Google Scholar
(3)Room, T. G.A generalization of the Kummer 166 configuration”, Proc. Lond. Math. Soc. 37 (1932), 292337.Google Scholar
(4)Room, T. G.A representation of [k]'s of [m] by points of [(mk) (k + 1)]”, Proc. Camb. Phil. Soc. 29 (1933), 331–46.CrossRefGoogle Scholar
(5)Segre, C.Mehrdimensionale Räume”, Encyklop. d. math. Wissensch. iii, C. 7 (1912).Google Scholar
(6)Semple, J. G.Note on rational normal quartic curves”, Journal London Math. Soc. 7 (1932), 266–71.CrossRefGoogle Scholar
(7)Telling, H. G.Three related quartic curves in four dimensions”, Proc. Camb. Phil. Soc. 28 (1932), 403–15.CrossRefGoogle Scholar
(8)Welchman, W. G.Additional note on plane congruences and fifth incidence theorems”, Proc. Camb. Phil. Soc. 28 (1932), 416–20.CrossRefGoogle Scholar