Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vaisman theorem for lcK spaces   Vaisman's theorem for locally conformally K\"ahler (lcK) compact manifolds
states that any lcK metric on a compact complex manifold which admits a
K\"ahler metric is, in fact, globally conformally K\"ahler (gcK). In this
paper, we extend this theorem to compact complex spaces with singularities.

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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th