Vector Bundles and Arithmetic Groups.~II

A. N. Parshin

Informatics and Automation, Number theory, algebra, and algebraic geometry, Tome 241 (2003), pp. 179-191.

Résumé

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.

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