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Perverse Sheaves on Image Multiple Point Spaces

Published online by Cambridge University Press:  04 December 2007

Kevin Houston
Kevin Houston
Affiliation:
School of Mathematics, University of Leeds, Leeds LS2 9JT, U.K. E-mail: khouston@amsta.leeds.ac.uk
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Abstract

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Using multiple point spaces some new examples of perverse sheaves on images of maps are described. Furthermore, suppose $f:X → Y$ 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 cohomologycomposition seriesmultiple point set
Type
Research Article
Information
Compositio Mathematica , Volume 123 , Issue 1 , August 2000 , pp. 117 - 130
Copyright
© 2000 Kluwer Academic Publishers