Geodesic
Local acyclic fibrations and the de Rham complex
Homology, homotopy, and applications, Tome 11 (2009) no. 1, pp. 115-140.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2009.v11.n1.a6
Classification : 14F40, 55N30
Keywords: simplicial presheaves, de Rham cohomology, homotopy 
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Ben Lee. Local acyclic fibrations and the de Rham complex. Homology, homotopy, and applications, Tome 11 (2009) no. 1, pp. 115-140. doi : 10.4310/HHA.2009.v11.n1.a6. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n1.a6/

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