English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Preprint

Compatible systems of ℓ-adic sheaves

MPS-Authors
/persons/resource/persons264675

Guignard,  Quentin
Max Planck Institute for Mathematics, Max Planck Society;

External Resource
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

2101.00846.pdf
(Preprint), 365KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Guignard, Q. (submitted). Compatible systems of ℓ-adic sheaves.


Cite as: https://hdl.handle.net/21.11116/0000-000F-62F8-B
Abstract
We introduce a notion of compatibility for families (Fℓ)ℓ of bounded constructible ℓ-adic complexes of étale sheaves on schemes. For schemes of finite type over a field, this notion is preserved by the usual six functors. We prove that the compatibility of a family is preserved by the nearby cycles functor and by the linearized ε-factors introduced recently by the author. We establish independence of ℓ for the characteristic cycles and characteristic ε-cycles of compatible families.