Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multigraded regularity and the Koszul property   We give a criterion for the section ring of an ample line bundle to be Koszul
in terms of multigraded regularity. We discuss an application to polytopal
semigroup rings.

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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-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: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: q-alg