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Self-polar double configurations in projective geometry
Published online by Cambridge University Press: 09 April 2009
Extract
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.
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- Copyright © Australian Mathematical Society 1965