Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the logarithmic comparison theorem for integrable logarithmic
  connections   Let $X$ be a complex analytic manifold, $D\subset X$ a free divisor with
jacobian ideal of linear type (e.g. a locally quasi-homogeneous free divisor),
$j: U=X-D \to X$ the corresponding open inclusion, $E$ an integrable
logarithmic connection with respect to $D$ and $L$ the local system of the
horizontal sections of $E$ on $U$. In this paper we prove that the canonical
morphisms between the logarithmic de Rham complex of $E(kD)$ and $R j_* L$
(resp. the logarithmic de Rham complex of $E(-kD)$ and $j_!L$) are isomorphisms
in the derived category of sheaves of complex vector spaces for $k\gg 0$
(locally on $X$)

6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int