Build. Blocks
Comb. Appl.
HCA Proving
Arrangements
Branches
Classify
Coding
Deformations
Equidim Part
Existence
Finite Groups
Flatness
Genus
Hilbert Series
Membership
Nonnormal Locus
Normalization
Primdec
Puiseux
Plane Curves
Saturation
Solving
Space Curves
Spectrum
Common Transversals and Tangents to 2 Lines and 2 Quadrics
(G. Megyesi, F. Sottile and Th. Theobald)

(image by F. Sottile; green lines transversal to red line and line at infinity, tangent to orange and light brown quadrics)

Problem:   Fixing 2 lines and one quadric in projective 3-dimensional space, describe the set of all quadrics for which there are infinitely many lines simultaneously transversal to both lines and tangent to both quadrics.

Sao Carlos, 08/02 http://www.singular.uni-kl.de