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Results tagged with perverse-sheaves
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user 916
15
votes
Accepted
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 …
- 2,706
6
votes
Accepted
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 …
- 2,706
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 …
- 2,706