2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140336We 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.24 pages; exposition revised, typos fixed, minor amendments to statementsAlgebraic GeometryAlgebraic Topology14F40 (Primary); 55N30 (Secondary)Local acyclic fibrations and the de Rham complextext