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Descent for blow-up's on smooth schemes
dc.contributor.author | Roig Maranges, Abdó |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2010-05-10T11:19:07Z |
dc.date.available | 2010-05-10T11:19:07Z |
dc.date.issued | 2009-04 |
dc.identifier.citation | Roig Maranges, A. Descent for blow-up's on smooth schemes, 15 Abril, 2009, p1-16 |
dc.identifier.uri | http://hdl.handle.net/2117/7140 |
dc.description.abstract | These 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.extent | 16 p. |
dc.language.iso | eng |
dc.relation.ispartofseries | [prepr200912Roi-M] |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.title | Descent for blow-up's on smooth schemes |
dc.type | External research report |
dc.subject.lemac | Homotopia, Teoria de l' |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.relation.publisherversion | http://www.ma1.upc.edu/recerca/preprints/2009/prepr200901roigmaranges.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 2191216 |
dc.description.version | Preprint |
local.personalitzacitacio | true |
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