“…In [9] the divisorial canonicity was established for Fano varieties of index 1 that are d-sheeted covers of P M , under the assumption that they have at worst quadratic singularities, the rank of which is bounded from below (the bound depends on the dimension M and the degree of the cover) and satisfy certain additional conditions of general position, and the varieties that are not divisorially canonical form a set, the codimension of which is bounded from below by an integer-valued function of the parameters d and M, which grows as 1 2 M 2 when M grows. Finally, for complete intersections of type d 1 • d 2 in P M +2 the divisorial canonicity was shown for the varieties with at worst quadratic and bi-quadratic singularities, the rank of which is bounded from below, in [10], under the assumption that certain additional conditions of general position are satisfied, and for the codimension of the set of complete intersections that do not satisfy those conditions, an estimate, similar to the estimates above, was obtained.…”