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Is every quartic a conic of conics?

Published online by Cambridge University Press:  24 October 2008

C. T. C. Wall
C. T. C. Wall
Affiliation:
Department of Mathematics, Liverpool University
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Extract

The question of the title is to be interpreted as follows. Given a homogeneous nonzero quartic polynomial ø(x1, x2, x3), can one always find homogeneous quadratics c, q1, q2, q3 in three variables such that

I am indebted to Ulf Persson for asking this question, the answer to which is intimately related to the singularities of the projective quartic curve Γ defined by ø = 0. We work throughout over the field ℂ of complex numbers.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 109 , Issue 3 , May 1991 , pp. 419 - 424
Copyright
Copyright © Cambridge Philosophical Society 1991

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References

REFERENCES

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