Vector Bundles and Arithmetical Groups I. The higher Bruhat-Tits tree
| dc.creator | Parshin, A. N. | |
| dc.date | 1996-05-07 | |
| dc.date.accessioned | 2026-07-07T09:06:48Z | |
| dc.date.available | 2026-07-07T09:06:48Z | |
| dc.description | We define and study a simplicial complex which is a homogeneous space for the group $PGL(2, K)$ over a two-dimensional local field $K$. The complex is a generalization of the tree studied by F. Bruhat, J. Tits, J.-P. Serre and P. Cartier in the 60's and early 70's. Such complex can be canonically attached to the triples $x \in C \subset X$ where $X$ is an algebraic surface, $C$ is an irreducible curve and $x$ is a smooth point on $C$ and $X$. This construction can be used for a description of the isomorphism set of vector bundles on $X$. | |
| dc.description | to appear in an english translation of the Proc. Steklov Math. Institute, vol. 208 33 pages, LaTeX, emlines.sty | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9605001 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9605001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150144 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Vector Bundles and Arithmetical Groups I. The higher Bruhat-Tits tree | |
| dc.type | text |