Article contents
An aspect of the invariant of degree 4 of the binary quintic
Published online by Cambridge University Press: 20 January 2009
Extract
A binary form of odd degree,
has a quadratic covariant Г, (ab2maxbx in Aronhold's notation, and the discriminant Δ of Г is an invariant of ƒ For m = 2Δ was obtained by Cayley in 1856 [3, p. 274]; it was curiosity as to how Δ could be interpreted geometrically that triggered the writing of this note. An interpretation, in projective space [2m + 1], that does not seem to be on record, of Γ and Δ is found below. If m = 1 one has merely the Hessian and discriminant of a binary cubic whose interpretations in the geometry of the twisted cubic are widely known [5, pp. 241–2].
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 29 , Issue 1 , February 1986 , pp. 133 - 140
- Copyright
- Copyright © Edinburgh Mathematical Society 1986
References
REFERENCES
- 1
- Cited by