Hostname: page-component-848d4c4894-xfwgj Total loading time: 0 Render date: 2024-06-25T02:55:32.488Z Has data issue: false hasContentIssue false
  • English
  • Français

Real classification of complex conics

Part of: Real and complex geometry

Published online by Cambridge University Press:  26 February 2010

P. E. Newstead
P. E. Newstead
Affiliation:
Department of Pure Mathematics, The University of Liverpool, Liverpool, L69 3BX.
Get access

Extract

The classification of conies in the real or complex projective plane under the action of the appropriate group is simple and well known. We consider here the more complicated question of classifying conies in the complex projective plane ℂℙ2 under the action of the real projective group PGL (3, ℝ).

MSC classification

Secondary: 51M99: None of the above, but in this section
Type
Research Article
Information
Mathematika , Volume 28 , Issue 1 , June 1981 , pp. 36 - 53
Copyright
Copyright © University College London 1981

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Dickson, L. E.. “On families of quadratic forms in a general field”, Quarterly J. Math., 39 (1908), 316–333.Google Scholar
2.Gantmacher, F. R.. The theory of matrices Vol. 2 (Chelsea, New York, 1959) (Original Russian edition, Moscow 1953).Google Scholar
3.Hilton, H.. Plane algebraic curves (Oxford, 1920).Google Scholar
4.Hodge, W. V. D. and Pedoe, D.. Methods of Algebraic Geometry, Vol.11 (Cambridge, 1952).Google Scholar
5.Weierstrass, K.. “Zur Theorie der bilinearen und quadratischen Formen”, Monatsberichte der Akad. Wiss. Berlin, 1868, 310–338. (Mathematische Werke, Band II, Berlin 1895, 19–44).Google Scholar