Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holomorphic bundles trivializable by proper surjective holomorphic map   Given a compact complex manifold $M$, we investigate the holomorphic vector
bundles $E$ on $M$ such that $\varphi^* E$ is trivial for some surjective
holomorphic map $\varphi$, to $M$, from some compact complex manifold. We prove
that these are exactly those holomorphic vector bundles that admit a flat
holomorphic connection with finite monodromy homomorphism. A similar result is
proved for holomorphic principal $G$-bundles, where $G$ is a connected
reductive complex affine algebraic group.

22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th