Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A small deformation and modifications of locally conformally balanced
  manifolds   We will consider locally conformally balanced manifolds. We prove that a
locally conformally balanced condition is not stable under a small deformation.
We prove that locally conformally balanced condition is stable under any proper
modification. We prove that symmetric products of the Kodaira surface can be
resolve to locally conformally balanced manifolds by Hilbert-Chow map.

18
The categories of this paper are: econ
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: stat