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

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.

15 pages, final version

References in corpus (2)

• Independence of ell of Monodromy Groups
• Independence of l in Lafforgue's theorem

Cited by in corpus (1)

• Companions on Artin stacks