Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modules de cycles et classes non ramifi\'ees sur un espace classifiant   Let G be a finite group of exponent m and let k be a field of characteristic
prime to m, containing the m-th roots of unity. For any Rost cycle module M
over k, we construct exact sequences detecting the unramified elements in
Serre's group of invariants of G with values in M in terms of "residue"
morphisms associated to pairs (D,g), where D runs through the subgroups of G
and g runs through the homomorphisms \mu_m \to G whose image centralises D.
This allows us to recover results of Bogomolov and Peyre on the unramified
cohomology of fields of invariants of G, and to generalise them.

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The categories of this paper are: cs
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg