Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: La filtration canonique par les pentes d'un module aux q-diff\'erences
  et le gradu\'e associ\'e   We show that the Newton polygon of a linear q-difference equation depends
only on the corresponding q-difference module. We interpret the classical
results of convergent factorisation of Adams-Birkhoff-Guenther in terms of the
existence of a canonical filtration. Moreover, the associated graded module has
excellent functorial (resp. tensorial) properties, whence its interest for
classification (resp. for Galois theory).

16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci