Local acyclic fibrations and the de Rham complex

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dc.creatorLee, Ben
dc.date2007-10-16
dc.date2007-10-22
dc.date.accessioned2026-07-07T08:37:15Z
dc.date.available2026-07-07T08:37:15Z
dc.descriptionWe 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.
dc.description24 pages; exposition revised, typos fixed, minor amendments to statements
dc.identifierhttps://arxiv.org/abs/0710.3147
dc.identifierhttp://arxiv.org/abs/0710.3147
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140336
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject14F40 (Primary); 55N30 (Secondary)
dc.titleLocal acyclic fibrations and the de Rham complex
dc.typetext

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