Carregant...
Fitxers
Tipus de document
ArticleVersió
Versió publicadaData de publicació
Tots els drets reservats
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/62303
$E_{1}$-Formality of complex algebraic varieties
Títol de la revista
Director/Tutor
ISSN de la revista
Títol del volum
Recurs relacionat
Resum
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.
Matèries (anglès)
Citació
Citació
CIRICI, Joana, GUILLÉN SANTOS, Francisco. $E_{1}$-Formality of complex algebraic varieties. _Algebraic and Geometric Topology_. 2014. Vol. 14, núm. 3049-3079. [consulta: 25 de febrer de 2026]. ISSN: 1472-2747. [Disponible a: https://hdl.handle.net/2445/62303]