Rank 2 vector bundles on ind-Grassmannians
| dc.creator | Penkov, Ivan | |
| dc.creator | Tikhomirov, Alexander S. | |
| dc.date | 2007-10-03 | |
| dc.date.accessioned | 2026-07-07T08:34:04Z | |
| dc.date.available | 2026-07-07T08:34:04Z | |
| dc.description | The simplest example of an ind-Grassmannian is the infinite projective space $\mathbf P^\infty$. The Barth-Van de Ven-Tyurin (BVT) Theorem, proved more than 30 years ago \cite{BV}, \cite{T}, \cite{Sa} (see also a recent proof by A. Coandă and G. Trautmann, \cite{CT}), claims that any vector bundle of finite rank on $\mathbf P^\infty$ is isomorphic to a direct sum of line bundles. In the last decade natural examples of infinite flag varieties (or flag ind-varieties) have arisen as homogeneous spaces of locally linear ind-groups, \cite{DPW}, \cite{DiP}. In the present paper we concentrate our attention to the special case of ind-Grassmannians, i.e. to inductive limits of Grassmannians of growing dimension. | |
| dc.identifier | https://arxiv.org/abs/0710.0905 | |
| dc.identifier | http://arxiv.org/abs/0710.0905 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139305 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Rank 2 vector bundles on ind-Grassmannians | |
| dc.type | text |