Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Galois descent criteria   This paper gives an introduction to homotopy descent, and its applications in
algebraic $K$-theory computations for fields. On the \'etale site of a field, a
fibrant model of a simplicial presheaf can be constructed from naive Galois
cohomological objects given by homotopy fixed point constructions, but only up
to pro-equivalence. The homotopy fixed point spaces define finite Galois
descent for simplicial presheaves (and their relatives) over a field, but a
pro-categorical construction is a necessary second step for passage from finite
descent conditions to full homotopy descent in a Galois cohomological setting.

17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an