Weights in cohomology and the Eilenberg-Moore spectral sequence
| dc.creator | Franz, Matthias | |
| dc.creator | Weber, Andrzej | |
| dc.date | 2004-05-31 | |
| dc.date | 2004-11-23 | |
| dc.date.accessioned | 2026-07-07T06:29:02Z | |
| dc.date.available | 2026-07-07T06:29:02Z | |
| dc.description | We show that in the category of complex algebraic varieties, the Eilenberg--Moore spectral sequence can be endowed with a weight filtration. This implies that it degenerates if all involved spaces have pure cohomology. As application, we compute the rational cohomology of an algebraic $G$-variety $X$ ($G$ being a connected algebraic group) in terms of its equivariant cohomology provided that $H_G(X)$ is pure. This is the case, for example, if $X$ is smooth and has only finitely many orbits. We work in the category of mixed sheaves; therefore our results apply equally to (equivariant) intersection homology. | |
| dc.description | 17 pages, final version, to appear in Annales de l'Institute Fourier | |
| dc.identifier | https://arxiv.org/abs/math/0405589 | |
| dc.identifier | http://arxiv.org/abs/math/0405589 | |
| dc.identifier | Ann. Inst. Fourier 55, No.2, 673-691 (2005). | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97896 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 32S35, 14L30, 14F43, 55N33 | |
| dc.title | Weights in cohomology and the Eilenberg-Moore spectral sequence | |
| dc.type | text |