On the equivariant cohomology of subvarieties of a B-regular variety
| dc.creator | Carrell, James B. | |
| dc.creator | Kaveh, Kiumars | |
| dc.date | 2008-09-06 | |
| dc.date.accessioned | 2026-07-07T10:01:15Z | |
| dc.date.available | 2026-07-07T10:01:15Z | |
| dc.description | By a $B$-regular variety, we mean a smooth projective variety over $C$ admitting an algebraic action of the upper triangular Borel subgroup $B \subset SL_2(C)$ such that the unipotent radical in $B$ has a unique fixed point. A result of M. Brion and the first author describes the equivariant cohomology algebra (over $C$) of a $B$-regular variety $X$ as the coordinate ring of a remarkable affine curve in $X \times P^1$. The main result of this paper uses this fact to classify the $B$-invariant subvarieties $Y$ of a $B$-regular variety $X$ for which the restriction map $i_Y:H^*(X) \to H^*(Y)$ is surjective. | |
| dc.description | 12 pages, LaTeX. To appear in Transformation Groups | |
| dc.identifier | https://arxiv.org/abs/0809.1136 | |
| dc.identifier | http://arxiv.org/abs/0809.1136 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168573 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14L30; 14M15; 55N91 | |
| dc.title | On the equivariant cohomology of subvarieties of a B-regular variety | |
| dc.type | text |