Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lefschetz theorem for holomorphic one-forms on weakly 1-complete
  manifolds   For a holomorphic one-form $\omega$ on a weakly 1-complete manifold $X$ with
certain properties, we discussed the connectivity of the pair $(\hat{X},
F^{-1}(z))$, where $\pi : \hat{X} \to X$ is a covering map and
$dF=\pi^*\omega$. We also discussed the criteria about when such a manifold $X$
admits a proper holomorphic mapping onto a Riemann surface.

25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph