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Perverse Sheaves on Image Multiple Point Spaces
Authors:Kevin Houston
Affiliation:(1) School of Mathematics, University of Leeds, Leeds, LS2 9JT, U.K.
Abstract:Using multiple point spaces some new examples of perverse sheaves on images of maps are described. Furthermore, suppose 
$$f:X to Y$$
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.
Keywords:intersection cohomology  composition series  multiple point set
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