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Geometry of quartic curves

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

In recent work [5] which involved enumeration of singularity types of highly singular quintic curves, it was necessary to use rather detailed information on the geometry of quartic curves (for the case when the quintic consists of the quartic and a line). The present paper was written to supply this background. The cases of primary interest for this purpose are the rational quartics, and we concentrate on these.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 117 , Issue 3 , May 1995 , pp. 415 - 423
Copyright
Copyright © Cambridge Philosophical Society 1995

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References

REFERENCES

[1]Vermeulen, A. M.. Weierstrass points of weight two on curves of genus three. Doctoral thesis, University of Amsterdam, 1983.Google Scholar
[2]Wall, C. T. C.. Nets of conies. Math. Proc. Camb. Phil. Soc. 81 (1977), 351–364.Google Scholar
[3]Wall, C. T. C.. Is every quartic a conic of conies? Math. Proc. Camb. Phil. Soc. 109 (1991). 419–424.CrossRefGoogle Scholar
[4]Wall, C. T. C.. Duality of singular plane curves. J. London Math. Soc. 50 (1994), 265–275.CrossRefGoogle Scholar
[5]Wall, C. T. C.. Highly singular quintic curves (to appear).Google Scholar