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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.

KL, 06/03 http://www.singular.uni-kl.de