Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A comparison of dg algebra resolutions with prime residual
  characteristic   In this article we fix a prime integer $p$ and compare certain dg algebra
resolutions over a local ring whose residue field has characteristic $p$.
Namely, we show that given a closed surjective map between such algebras there
is a precise description for the minimal model in terms of the acyclic closure,
and that the latter is a quotient of the former. A first application is that
the homotopy Lie algebra of a closed surjective map with residual
characteristic $p$ is abelian. We also use these calculations to show
deviations enjoy rigidity properties which detect the (quasi-)complete
intersection property.

25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an