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Perverse Sheaves on Image Multiple Point Spaces

Published online by Cambridge University Press:  04 December 2007

Kevin Houston
Affiliation:
School of Mathematics, University of Leeds, Leeds LS2 9JT, U.K. E-mail: [email protected]
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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.

Type
Research Article
Copyright
© 2000 Kluwer Academic Publishers