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dc.contributor.authorRoig Maranges, Abdó
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2010-05-10T11:19:07Z
dc.date.available2010-05-10T11:19:07Z
dc.date.issued2009-04
dc.identifier.citationRoig Maranges, A. Descent for blow-up's on smooth schemes, 15 Abril, 2009, p1-16
dc.identifier.urihttp://hdl.handle.net/2117/7140
dc.description.abstractThese are the notes of a talk in which we translate from the A1-homotopy theoretic context an argument from [Mor99] showing that a homotopy invariant presheaf of spectra on the category of smooth schemes that satisfies Nisnevich descent automatically satisfies descent for abstract blow-ups. More concretely, Theorem 3.3.1 in [Mor99] roughly says that a Nisnevich distinguished square of schemes is homotopy cartesian when seen in the stable A1-homotopy category. We complete the details of the proof of this theorem and write it in the language of presheaves of spectra. This is theorem 3.7 in this notes.
dc.format.extent16 p.
dc.language.isoeng
dc.relation.ispartofseries[prepr200912Roi-M]
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.titleDescent for blow-up's on smooth schemes
dc.typeExternal research report
dc.subject.lemacHomotopia, Teoria de l'
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.relation.publisherversionhttp://www.ma1.upc.edu/recerca/preprints/2009/prepr200901roigmaranges.pdf
dc.rights.accessOpen Access
local.identifier.drac2191216
dc.description.versionPreprint
local.personalitzacitaciotrue


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