Perverse Sheaves on Image Multiple Point Spaces

Using multiple point spaces some new examples of perverse sheaves on images of maps are described. Furthermore, suppose is a finite and proper map of complex analytic manifolds of dimension n and n+1 such that every multiple point space is nonsingular and has the dimension expected of a generic map. Then we can describe the composition series for the constant sheaf on the image in the category of perverse sheaves.