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Pencils of real binary cubics

Published online by Cambridge University Press:  24 October 2008

C. T. C. Wall
C. T. C. Wall
Affiliation:
University of Liverpool
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Extract

A complete and satisfying account of the classification of pencils of binary cubics over an algebraically closed field was given by Newstead (2). Extending these results to the real case is not a matter of mere routine since new questions arise, for example the separation of roots of the cubics in a pencil (as well as their reality).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 93 , Issue 3 , May 1983 , pp. 477 - 484
Copyright
Copyright © Cambridge Philosophical Society 1983

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References

REFERENCES

(1)Nakai, I.On topological types of polynomial mappings. Proc. A.M.S. Symp. in Pure Math. no. 40 (Singularity theory, Arcata, 1981), ed. Orlik, P.. (In the Press.)Google Scholar
(2)Newstead, P. E.Invariants of pencils of binary cubics. Math. Proc. Cambridge Philos. Soc. 89 (1981), 201–209.CrossRefGoogle Scholar
(3)Wall, C. T. C.Note on the invariant of plane cubics. Math. Proc. Cambridge Philos. Soc. 85 (1979), 403–406.CrossRefGoogle Scholar