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http://hdl.handle.net/2445/62303
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DC Field | Value | Language |
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dc.contributor.author | Cirici, Joana | - |
dc.contributor.author | Guillén Santos, Francisco | - |
dc.date.accessioned | 2015-02-03T11:38:45Z | - |
dc.date.available | 2015-02-03T11:38:45Z | - |
dc.date.issued | 2014-11-05 | - |
dc.identifier.issn | 1472-2747 | - |
dc.identifier.uri | http://hdl.handle.net/2445/62303 | - |
dc.description.abstract | Let $X$ be a smooth complex algebraic variety. Morgan showed that the rational homotopy type of $X$ is a formal consequence of the differential graded algebra defined by the first term $E_{1}(X,W)$ of its weight spectral sequence. In the present work, we generalize this result to arbitrary nilpotent complex algebraic varieties (possibly singular and/or non-compact) and to algebraic morphisms between them. In particular, our results generalize the formality theorem of Deligne, Griffiths, Morgan and Sullivan for morphisms of compact Kähler varieties, filling a gap in Morgan"s theory concerning functoriality over the rationals. As an application, we study the Hopf invariant of certain algebraic morphisms using intersection theory. | - |
dc.format.extent | 31 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Mathematical Sciences Publishers (MSP) | - |
dc.relation.isformatof | Reproducció del document publicat a: http://dx.doi.org/10.2140/agt.2014.14.3049 | - |
dc.relation.ispartof | Algebraic and Geometric Topology, 2014, vol. 14, p. 3049-3079 | - |
dc.relation.uri | http://dx.doi.org/10.2140/agt.2014.14.3049 | - |
dc.rights | (c) Mathematical Sciences Publishers (MSP), 2014 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Singularitats (Matemàtica) | - |
dc.subject.classification | Teoria de l'homotopia | - |
dc.subject.other | Singularities (Mathematics) | - |
dc.subject.other | Homotopy theory | - |
dc.title | $E_{1}$-Formality of complex algebraic varieties | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 646269 | - |
dc.date.updated | 2015-02-03T11:38:45Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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646269.pdf | 402.13 kB | Adobe PDF | View/Open |
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