Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Generalized Theorem of Katz and Motivic Integration   In what follows, we are interested in an extension of a theorem of Nicholas
Katz, which will be useful in studying the cohomology of generalized arc spaces
develop by Hans Schoutens. As is well known, one is typically interested in the
motivic volume of a definable subset of $\mathcal{X} \times X \times
\mathbb{Z}^n$ where $\mathcal{X}$ is a scheme over $k((t))$ and $X$ the special
fiber of $\mathcal{X}$ . Schoutens has introduced the possibility of developing
a motivic integration for limit points other than $k[[t]]$.

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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: eess