Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nagata's embedding theorem   In 1962-63, M. Nagata showed that an abstract variety could be embedded into
a complete variety. Later, P. Deligne translated Nagata's proof into the
language of schemes, but did not publish his notes. This paper, which is to
appear as an appendix in a forthcoming book, gives an elaboration of Deligne's
notes. It also contains some complementary results on extending divisors and
vector sheaves to suitable completions.

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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph