Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic independence in the Grothendieck ring of varieties   We give sufficient cohomological criteria for the classes of given varieties
over a field $k$ to be algebraically independent in the Grothendieck ring of
varieties over $k$ and construct some examples.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
35
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: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: funct-an