RUS  ENG
Full version
JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2003 Volume 241, Pages 179–191 (Mi tm395)
This article is cited in 1 paper

Vector Bundles and Arithmetic Groups. II

A. N. Parshin

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: A relation is established between the Bruhat–Tits tree of the group $\mathrm {PGL}(2)$ and the set of vector bundles of an algebraic surface. This relation generalizes the well-known result of J.-P. Serre for algebraic curves.

UDC: 512.7

Received in November 2002


 English version: Proceedings of the Steklov Institute of Mathematics, 2003, 241, 164–176

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2025