Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modules over the de Rham cohomology spectrum   We show that the bounded derived category of regular holonomic D-modules on a
smooth variety is equivalent to the homotopy catgory of compact (or
constructible) modules over the motivic ring spectrum $H_{dR}$ representing
algebraic de Rham cohomology. This equivalence is compatible with the six
functors on both sides. This way, the classical functors in the world of
D-modules, $f_! := D_Y f_* D_X, f^* := D_X f^! D_Y$ ($f: X \to Y$), are
conceptually explained and embedded into a larger and more flexible framework.
We also apply this equivalence to obtain a motivic t-structure on
$H_{dR}$-modules on not necessarily smooth schemes.

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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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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: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: econ