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Self-polar double configurations in projective geometry

Published online by Cambridge University Press:  09 April 2009

T. G. Room
T. G. Room
Affiliation:
University of Sydney, Sydney.
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The principal theorem to be proved in this part is: Theorem II. If in IIn a normal rational curve, ρ, and a quadric primal S are such that there is a proper simplex inscribed in ρ and self-polar with regard to S, then there exist sets of N, = (2n+1/2), chords of р every two of which are conjugate with regard to S. A set can be constructed to contain any pair of chords of р which are conjugate with regard to S.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 5 , Issue 1 , February 1965 , pp. 69 - 75
Copyright
Copyright © Australian Mathematical Society 1965

References

[1]Room, T. G., Geometry of Determinantal Loci (Cambridge U.P., 1938).Google Scholar
[2]Coble, A. B., The Double-Nn configuration, Duke Month. J. 9 (1942) 436.Google Scholar
[3]White, , On certain sets of plane curves, Proc. Camb. Phil. Soc. 22 (1924) 216–227.CrossRefGoogle Scholar