Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zeroth $\mathbb{A}^1$-homology of smooth proper varieties   We give an explicit formula for the zeroth $\mathbb{A}^1$-homology sheaf of a
smooth proper variety. We also provide a simple proof of a theorem of
Kahn-Sujatha which describes hom sets in the birational localization of the
category of smooth varieties.

12
The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph