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6 votes
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Intersection Cohomology of Coordinate Hyperplanes

Let $Y$ denote the disjoint union of the coordinate hyperplanes in $\mathbb{C}^n,$ and let $f:Y \to X$ denote the corresponding resolution of singularities. 1) Show that $f_{\ast}\mathbb{C}_Y[n-1] \s …
Mike Skirvin's user avatar
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1 vote

How to do Computations Using the Decomposition Theorem for Perverse Sheaves

There's a recent paper by Mark Andrea de Cataldo and Luca Migliorini (http://arxiv.org/abs/0712.0349) which gives an excellent introduction to the decomposition theorem. In particular, they discuss s …
Mike Skirvin's user avatar
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15 votes
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Examples for Decomposition Theorem

I can think of several additions to your list which don't seem to be represented yet. 1. Semismall resolutions This first example is rather general, but afterward I will discuss how it is used in Sp …
Mike Skirvin's user avatar
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