Is every quartic a conic of conics?
Published online by Cambridge University Press: 24 October 2008
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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