No CrossRef data available.
A symmetrical configuration of n + 1 rational normal curves in [2n]
Published online by Cambridge University Press: 24 October 2008
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
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 33 , Issue 3 , July 1937 , pp. 293 - 300
- Copyright
- Copyright © Cambridge Philosophical Society 1937
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), 292–337.Google Scholar
(4)Room, T. G. “A representation of [k]'s of [m] by points of [(m − k) (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