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arXiv · 1512.01447

Independence of $\ell$ for the supports in the Decomposition Theorem

Shenghao Sun
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Abstract

In this note, we prove a result on the independence of $\ell$ for the supports of irreducible perverse sheaves occurring in the Decomposition Theorem, as well as for the family of local systems on each support. It generalizes Gabber's result on the independence of $\ell$ of intersection cohomology to the relative case.

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Shenghao Sun. 2015-12-04. Independence of $\ell$ for the supports in the Decomposition Theorem. https://doi.org/10.1215/00127094-2017-0059

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