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Covariants of pencils of binary cubics

Published online by Cambridge University Press:  14 November 2011

P. E. Newstead
P. E. Newstead
Affiliation:
Department of Pure Mathematics, University of Liverpool
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Synopsis

The invariants of pencils of binary cubics were described in an earlier paper by the author. In this note, we give a complete set of covariants for such pencils, and show how each type of pencil may be denned by the identical vanishing of covariants.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 91 , Issue 3-4 , 1982 , pp. 181 - 183
Copyright
Copyright © Royal Society of Edinburgh 1982

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References

1Clebsch, A.. Theorie der binären algebraischen Formen (Leipzig: Teubner, 1872).Google Scholar
2Newstead, P. E.. Invariants of pencils of binary cubics. Math. Proc. Camb. Philos. Soc. 89 (1981), 201–209.CrossRefGoogle Scholar
3Salmon, G.. Lessons introductory to the modem higher algebra, 3rd ed (Dublin: Hodges, Foster and Co., 1876).Google Scholar