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A construction for a self-polar double-N associated with a pair of normal rational curves

Published online by Cambridge University Press:  09 April 2009

P. B. Kirkpatrick
P. B. Kirkpatrick
Affiliation:
University of Sydney
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In [2] the author introduced a self-polar double-N(“CD”): this double-N is associated with a pair of very specially related (“-related”) normal rational curves, in that the spaces Hi, of one row of the double-N are chordal to one of the curves while the spaces Ki of the other row are chordal to the other curve. The double-N might be said to be “associated with” the triple consisting of these two curves and the polarizing quadric.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 8 , Issue 3 , August 1968 , pp. 415 - 422
Copyright
Copyright © Australian Mathematical Society 1968

References

[1]Edge, W. L., Ruled surfaces (Cambridge U.P., 1931).Google Scholar
[2]Kirkpatrick, P., ‘Self-polar double configurations defined by certain pairs of normal rational curves’, J. Aust. Math. Soc. 6 (1966), 210.CrossRefGoogle Scholar
[3]Room, T. G., ‘Self-polar double configurations, I and II’, J. Aust. Math. Soc. 5 (1965), 65.CrossRefGoogle Scholar
[4]Room, T. G., The geometry of determinantal loci (Cambridge U.P., 1938).Google Scholar