Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sur l'ind\'ependance de l en cohomologie l-adique sur les corps locaux   Gabber deduced his theorem of independence of $l$ of intersection cohomology
from a general stability result over finite fields. In this article, we prove
an analogue of this general result over local fields. More precisely, we
introduce a notion of independence of $l$ for systems of complexes of $l$-adic
sheaves on schemes of finite type over a local field, equivariant under finite
groups. We establish its stability by Grothendieck's six operations and the
nearby cycle functor. Our method leads to a new proof of Gabber's theorem. We
also give a generalization to algebraic stacks.
  -----
  Gabber a d\'eduit son th\'eor\`eme d'ind\'ependance de $l$ de la cohomologie
l'intersection d'un r\'esultat g\'en\'eral de stabilit\'e sur les corps finis.
Dans cet article, nous d\'emontrons un analogue sur les corps locaux de ce
r\'esultat g\'en\'eral. Plus pr\'ecis\'ement, nous introduisons une notion
d'ind\'ependance de $l$ pour les syst\`emes de complexes de faisceaux
$l$-adiques sur les sch\'emas de type fini sur un corps local \'equivariants
sous des groupes finis et nous \'etablissons sa stabilit\'e par les six
op\'erations de Grothendieck et le foncteur des cycles proches. Notre m\'ethode
permet d'obtenir une nouvelle d\'emonstration du th\'eor\`eme de Gabber. Nous
donnons aussi une g\'en\'eralisation aux champs alg\'ebriques.

12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex