Triviality of vector bundles on sufficiently twisted ind-Grassmannians
| dc.creator | Penkov, Ivan | |
| dc.creator | Tikhomirov, Alexander S. | |
| dc.date | 2007-06-27 | |
| dc.date.accessioned | 2026-07-07T08:12:36Z | |
| dc.date.available | 2026-07-07T08:12:36Z | |
| dc.description | Twisted ind-Grassmannians are ind-varieties $\GG$ obtained as direct limits of Grassmannians $G(r_m,V^{r_m})$, for $m\in\ZZ_{>0}$, under embeddings $ϕ_m:G(r_m,V^{r_m})\to G(r_{m+1}, V^{r_{m+1}})$ of degree greater than one. It has been conjectured in \cite{PT} and \cite{DP} that any vector bundle of finite rank on a twisted ind-Grassmannian is trivial. We prove this conjecture under the assumption that the ind-Grassmannian $\GG$ is sufficiently twisted, i.e. that $\lim_{m\to\infty}\frac{r_m}{°ϕ_1...\degϕ_m}=0$. | |
| dc.identifier | https://arxiv.org/abs/0706.3912 | |
| dc.identifier | http://arxiv.org/abs/0706.3912 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132511 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Primary 14M15, Secondary 14J60, 32L05 | |
| dc.title | Triviality of vector bundles on sufficiently twisted ind-Grassmannians | |
| dc.type | text |