The Journal of the Indian Mathematical Society

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On the Rational Norm Curve


     

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In the paper 'On the rational norm curve II', a one-to-one correspondence has been effected between quadric envelopes Q in a space Sn of n dimensions and linear line complexes L in a space of Sn+1 of (n+1) dimensions in the following manner. Any simplex inscribed in a rational norm curve Rn in Sn may be specified by the binary (n+1)-ic, axn+x, giving the parameters of its vertices.
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  • On the Rational Norm Curve

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Abstract


In the paper 'On the rational norm curve II', a one-to-one correspondence has been effected between quadric envelopes Q in a space Sn of n dimensions and linear line complexes L in a space of Sn+1 of (n+1) dimensions in the following manner. Any simplex inscribed in a rational norm curve Rn in Sn may be specified by the binary (n+1)-ic, axn+x, giving the parameters of its vertices.