Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinite root stacks and quasi-coherent sheaves on logarithmic schemes   We define and study infinite root stacks of fine and saturated logarithmic
schemes, a limit version of the root stacks introduced by Niels Borne and the
second author. We show in particular that the infinite root stack determines
the logarithmic structure, and recovers the Kummer-flat topos of the
logarithmic scheme. We also extend the correspondence between parabolic sheaves
and quasi-coherent sheaves on root stacks to this new setting.

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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph