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The Complete System of Linear Complexes and one Quaternary Quadric

Published online by Cambridge University Press:  20 January 2009

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In the following pages we give a complete system of projective concomitants for any number of linear complexes and one quadric, in a quaternary field. The investigation follows the earlier1 paper on mixed quaternary forms, in which the corresponding system, omitting the quadric, was given. Such a system, for one quadric and one linear complex was given by Weitzenböck who used complex symbols. A detailed investigation of the case of two linear complexes and a quadric, together with their geometry, has been given elsewhere.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1930

References

page 61 note 1 Turnbull, H. W., Proc. London Maih. Soc, 2, 25 (1926), 303327.CrossRefGoogle Scholar

page 61 note 2 Orelle 137, (1910), 6582.Google Scholar

page 61 note 3 By Das Gupta, P. N. in a paper to appear in the Proc. Lond. Math. Soc. (1930).Google Scholar

page 62 note 1 Turnbull, H. W., loc. cit. 312.Google Scholar

page 66 note 1 loc. cit., p. 313.Google Scholar