Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Irregularity of an analogue of the Gauss-Manin systems   In the D-modules theory, Gauss-Manin systems are defined by the direct image
of the structure sheaf O by a morphism. A major theorem says that these systems
have only regular singularities. This paper examines the irregularity of an
analogue of the Gauss-Manin systems. It consists in the direct image complex of
a D-module twisted by the exponential of a polynomial g by another polynomial
f, where f and g are two polynomials in two variables. The analogue of the
Gauss-Manin systems can have irregular singularities (at finite distance and at
infinity). We express an invariant associated with the irregularity of these
systems by the geometry of the map (f,g).

18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg