Approximating classifying spaces by smooth projective varieties
| dc.creator | Ekedahl, Torsten | |
| dc.date | 2009-05-11 | |
| dc.date.accessioned | 2026-07-07T13:13:38Z | |
| dc.date.available | 2026-07-07T13:13:38Z | |
| dc.description | We prove that for every reductive algebraic group $H$ with centre of positive dimension and every integer $K$ there is a smooth and projective variety $X$ and an algebraic $H$-torsor $P \to X$ such that the classifying map $X \to \Bclass H$ induces an isomorphism in cohomology in degrees $\le K$. This is then applied to show that if $G$ is a connected non-special group there is a $G$-torsor $P \to X$ for which we do not have $[P]=[G][X]$ in the (completion of the) Grothendieck ring of varieties. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/0905.1538 | |
| dc.identifier | http://arxiv.org/abs/0905.1538 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229954 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55R40; 14L24, 14F25 | |
| dc.title | Approximating classifying spaces by smooth projective varieties | |
| dc.type | text |