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

Autor: Sun, Shenghao
Rok vydání: 2015
Předmět:
Zdroj: Duke Math. J. 167, no. 10 (2018), 1803-1823
Druh dokumentu: Working Paper
DOI: 10.1215/00127094-2017-0059
Popis: 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.
Comment: 15 pages, final version
Databáze: arXiv