Instruct: Identify the main and secondary category of Arxiv papers based on the titles
Query: Product Theorem for K-stability   We study K-stability of products of K-stable $\mathbb{Q}$-Fano varieties.

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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: hep-ph