Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A vanishing result for the first twisted cohomology of affine varieties
  and applications to line arrangements   A general vanishing result for the first cohomology group of affine smooth
complex varieties with values in rank one local systems is established. This is
applied to the determination of the monodromy action on the first cohomology
group of the Milnor fiber of some line arrangements, including the monomial
arrangement and the exceptional reflection arrangement of type $G_{31}$.

20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph