Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Hodge filtration of logarithmic vector fields for well-generated
  complex reflection groups   Given an irreducible well-generated complex reflection group, we construct an
explicit basis for the module of vector fields with logarithmic poles along its
reflection arrangement. This construction yields in particular a Hodge
filtration of that module. Our approach is based on a detailed analysis of a
flat connection applied to the primitive vector field. This generalizes and
unifies analogous results for real reflection groups.

31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas