Vanishing of top equivariant Chern classes of regular embeddings
| dc.creator | Brion, Michel | |
| dc.creator | Kausz, Ivan | |
| dc.date | 2005-03-10 | |
| dc.date | 2005-10-16 | |
| dc.date.accessioned | 2026-07-07T06:39:32Z | |
| dc.date.available | 2026-07-07T06:39:32Z | |
| dc.description | Let $G$ be a connected affine algebraic group and $X$ a regular $G$-variety (in the sense of Bifet-De Concini-Procesi) with open orbit $G/H$ and boundary divisor $D$. We show the vanishing of the $G$-equivariant Chern classes of the bundle of differential forms on $X$ with logarithmic poles along $D$, in degrees larger than $\dim(X) - \rk(G) + \rk(H)$. Our motivation comes from Gieseker's degeneration method to prove the Newstead-Ramanan conjecture on the vanishing of the top Chern classes of the moduli space of stable vector bundles on a curve. | |
| dc.description | 8 pages. Corollary 2.6 added, typos corrected. To appear in Asian Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0503196 | |
| dc.identifier | http://arxiv.org/abs/math/0503196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101115 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60, 14L30, 14M17, 55N91 | |
| dc.title | Vanishing of top equivariant Chern classes of regular embeddings | |
| dc.type | text |