Geodesic
A Quadratic Transformation Based on a Straight Line and a Conic
Journal for geometry and graphics, Tome 6 (2002) no. 2, pp. 151-166 Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

The L-transformation is quadratic in the projective 3-space and originally based on an irreducible spatial cubic. Here the case is addressed where the cubic splits into a conic and a straight line. Two cases are distinguished depending on whether the conic and the line are disjoint or not. An analytic representation of the L-transformation is given and the images of planes and lines are studied in detail. Keywords: Lambda-transformation, quadratic transformation. Classification: 51N15; 51N35. 
@article{JGG_2002_6_2_a4,
     author = {E. Korczak},
     title = {A {Quadratic} {Transformation} {Based} on a {Straight} {Line} and a {Conic}},
     journal = {Journal for geometry and graphics},
     pages = {151--166},
     year = {2002},
     volume = {6},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JGG_2002_6_2_a4/}
}
TY  - JOUR
AU  - E. Korczak
TI  - A Quadratic Transformation Based on a Straight Line and a Conic
JO  - Journal for geometry and graphics
PY  - 2002
SP  - 151
EP  - 166
VL  - 6
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JGG_2002_6_2_a4/
ID  - JGG_2002_6_2_a4
ER  - 
%0 Journal Article
%A E. Korczak
%T A Quadratic Transformation Based on a Straight Line and a Conic
%J Journal for geometry and graphics
%D 2002
%P 151-166
%V 6
%N 2
%U http://geodesic.mathdoc.fr/item/JGG_2002_6_2_a4/
%F JGG_2002_6_2_a4
E. Korczak. A Quadratic Transformation Based on a Straight Line and a Conic. Journal for geometry and graphics, Tome 6 (2002) no. 2, pp. 151-166. http://geodesic.mathdoc.fr/item/JGG_2002_6_2_a4/