Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: DG-modules over de Rham DG-algebra   For a morphism of smooth schemes over a regular affine base we define
functors of derived direct image and extraordinary inverse image on coderived
categories of DG-modules over de Rham DG-algebras. Positselski proved that for
a smooth algebraic variety $X$ over a field $k$ of characteristic zero the
coderived category of DG-modules over $\Omega^\bullet_{X/k}$ is equivalent to
the unbounded derived category of quasi-coherent right ${\mathscr
D}_X$-modules. We prove that our functors correspond to the functors of the
same name for ${\mathscr D}_X$-modules under Positselski equivalence.

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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom