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II.—The Irreducible System of Concomitants of Two Double Binary (2, 1) Forms

Published online by Cambridge University Press:  15 September 2014

W. Saddler
W. Saddler
Affiliation:
University of St Andrews
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Extract

Little is known of the details of systems of concomitants belonging to double binary forms. The cases of the single ground form of orders (1, 1), (2, 1), (2, 2) respectively, together with the simultaneous system of any number of (1, 1) forms, are the only four cases, which have been published. The following pages establish the simultaneous system of two (2, 1) forms.

This system is fundamental for the geometrical treatment of two twisted cubics lying upon a quadric surface and having four common points.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 45 , Issue 1 , 1926 , pp. 3 - 13
Copyright
Copyright © Royal Society of Edinburgh 1926

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References

page 3 note * Turnbull, H.W., Proc. Edin. Math. Soc, vol. xli, p. 116Google Scholar; Proc. Roy. Soc. Edin., vol. xliii, p. 33, 1923. Kasner, , Trans. Amer. Math. Soc., vol i, 1900.Google ScholarPeano, , Battaglini, vol. xx, 1882.Google Scholar

page 4 note * Peano, loc. cit.

page 10 note * Grace, and Young, , Algebra of Invariants, pp. 78–80 and 163.Google Scholar