The generization conjecture for pure sheaves on ribbons

Let $X$ be a ribbon and let ${\mathscr F}$ be a pure sheaf on $X$ that is not a generalized vector bundle. A sheaf generizes to another sheaf if it occurs as a special fiber of a family whose general fiber is that sheaf. The generization conjecture. The sheaf ${\mathscr F}$ generizes to a quasi locally free sheaf. This would explain the relevance of quasi locally free sheaves and generalized vector bundles in the study of moduli spaces; the paper gives dimensional evidence for the conjecture in certain types, but does not prove it in general.