Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Function theoretic properties of symmetric powers of complex manifolds   In the paper we study properties of symmetric powers of complex manifolds. We
investigate a number of function theoretic properties (e. g. (quasi) $c$-finite
compactness, existence of peak functions) that are preserved by taking the
symmetric power. The case of symmetric products of planar domains is studied in
a more detailed way. In particular, a complete description of the
Carath\'eodory and Kobayashi hyperbolicity and Kobayashi completeness in that
class of domains is presented.

10
The categories of this paper are: q-bio
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The categories of this paper are: econ
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
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The categories of this paper are: stat
32
The categories of this paper are: atom-ph