Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 46, No. 2, pp. 301309 (2005) 

Conic sections in space defined by intersection conditionsHansPeter SchröckerInstitute of Discrete Mathematics and Geometry, Technical University ViennaAbstract: We investigate and visualize the set of planes in complex projective threespace ${\mathbb P}^3$ that intersect $m$ conics $C_i$ and $n=62m$ straight lines $L_j$ in a total of six points of a conic. The solution manifold $\{mathcal S}_m$ is algebraic and of class $8m$. It contains the pencils of planes through $L_j$ with multiplicity two and the planes of the conics $C_i$ with multiplicity three. Full text of the article:
Electronic version published on: 18 Oct 2005. This page was last modified: 29 Dec 2008.
© 2005 Heldermann Verlag
