Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local acyclic fibrations and the de Rham complex   We reinterpret algebraic de Rham cohomology for a possibly singular complex
variety X as sheaf cohomology in the site of smooth schemes over X with
Voevodsky's h-topology. Our results extend to the algebraic de Rham complex as
well. Our main technique is to extend Cech cohomology of hypercovers to
arbitrary local acyclic fibrations of simplicial presheaves.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
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The categories of this paper are: physics