Line complex
In algebraic geometry, a line complex is a 3-fold given by the intersection of the Grassmannian G with a hypersurface. It is called a line complex because points of G correspond to lines in P3, so a line complex can be thought of as a 3-dimensional family of lines in P3. The linear line complex and quadric line complex are the cases when the hypersurface has degree 1 or 2; they are both rational varieties.
