Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Motivic integration on Berkovich spaces over trivially valued fields   We define a motivic measure on the Berkovich analytification of an algebraic
variety defined over a trivially valued field, and introduce motivic
integration in this setting. The construction is geometric with a similar
spirit as Kontsevich's original definition, and leads to the formulation of a
functorial theory which mirrors, in this aspect, the approach of Cluckers and
Loeser via constructibe motivic functions.

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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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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: alg-geom
3
The categories of this paper are: physics