Collineations, Correlations, Polarities, and Conics
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1027-1041

Voir la notice de l'article provenant de la source Cambridge University Press

It is well known that planes of characteristic 2 behave differently from other Pappian projective planes. For this reason their detailed properties are usually ignored in books on synthetic projective geometry, especially when conies are being discussed. This can give rise to the misleading impression that planes of characteristic 2 are more difficult to deal with, while a cursory introduction to conies in such planes (e.g. Theorem 4.3) may suggest that the notion of “pole and polar” no longer exists.
Rigby, J. F. Collineations, Correlations, Polarities, and Conics. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1027-1041. doi: 10.4153/CJM-1967-094-x
@article{10_4153_CJM_1967_094_x,
     author = {Rigby, J. F.},
     title = {Collineations, {Correlations,} {Polarities,} and {Conics}},
     journal = {Canadian journal of mathematics},
     pages = {1027--1041},
     year = {1967},
     volume = {19},
     number = {1},
     doi = {10.4153/CJM-1967-094-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-094-x/}
}
TY  - JOUR
AU  - Rigby, J. F.
TI  - Collineations, Correlations, Polarities, and Conics
JO  - Canadian journal of mathematics
PY  - 1967
SP  - 1027
EP  - 1041
VL  - 19
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-094-x/
DO  - 10.4153/CJM-1967-094-x
ID  - 10_4153_CJM_1967_094_x
ER  - 
%0 Journal Article
%A Rigby, J. F.
%T Collineations, Correlations, Polarities, and Conics
%J Canadian journal of mathematics
%D 1967
%P 1027-1041
%V 19
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-094-x/
%R 10.4153/CJM-1967-094-x
%F 10_4153_CJM_1967_094_x

[1] 1. Baer, R., Projectivities of finite projective planes, Amer. J. Math., 69 (1947), 653–684. Google Scholar

[2] 2. Coxeter, H. S. M., Introduction to geometry (New York, 1961). Google Scholar

[3] 3. Coxeter, H. S. M., Projective geometry (New York, 1964). Google Scholar

[4] 4. Pedoe, D., An introduction to projective geometry (Oxford, 1963). Google Scholar

[5] 5. Pickert, G., Projektive Ebenen (Berlin, 1955). Google Scholar

[6] 6. Segre, B., Lectures on modern geometry (Rome, 1961). Google Scholar

[7] 7. von Staudt, K. G. C., Geometrie der Lage (Nürnberg, 1847). Google Scholar

[8] 8. Veblen, O. and Young, J. W., Projective geometry, Vol. 1 (Boston, 1910). Google Scholar

Cité par Sources :