Please use this identifier to cite or link to this item:
https://dipositint.ub.edu/dspace/handle/2445/62303
Title: | $E_{1}$-Formality of complex algebraic varieties |
Author: | Cirici, Joana Guillén Santos, Francisco |
Keywords: | Singularitats (Matemàtica) Teoria de l'homotopia Singularities (Mathematics) Homotopy theory |
Issue Date: | 5-Nov-2014 |
Publisher: | Mathematical Sciences Publishers (MSP) |
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. |
Note: | Reproducció del document publicat a: http://dx.doi.org/10.2140/agt.2014.14.3049 |
It is part of: | Algebraic and Geometric Topology, 2014, vol. 14, p. 3049-3079 |
URI: | http://hdl.handle.net/2445/62303 |
Related resource: | http://dx.doi.org/10.2140/agt.2014.14.3049 |
ISSN: | 1472-2747 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
646269.pdf | 402.13 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.