Independence of \(\ell\) for the supports in the Decomposition Theorem

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 coh...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Author Sun, Shenghao
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 15.08.2018
Subjects
Decomposition
Homology
Sheaves
Theorems
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1512.01447