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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2003, Volume 241, Pages 179–191 (Mi tm395)  
This article is cited in 1 scientific paper (total in 2 paper)

Vector Bundles and Arithmetic Groups. II

A. N. Parshin

Steklov Mathematical Institute, Russian Academy of Sciences
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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.
Received in November 2002
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: A. N. Parshin, “Vector Bundles and Arithmetic Groups. II”, Number theory, algebra, and algebraic geometry, Collected papers. Dedicated to the 80th birthday of academician Igor' Rostislavovich Shafarevich, Trudy Mat. Inst. Steklova, 241, Nauka, MAIK «Nauka/Inteperiodika», M., 2003, 179–191; Proc. Steklov Inst. Math., 241 (2003), 164–176
Citation in format AMSBIB
\Bibitem{Par03}
\by A.~N.~Parshin
\paper Vector Bundles and Arithmetic Groups.~II
\inbook Number theory, algebra, and algebraic geometry
\bookinfo Collected papers. Dedicated to the 80th birthday of academician Igor' Rostislavovich Shafarevich
\serial Trudy Mat. Inst. Steklova
\yr 2003
\vol 241
\pages 179--191
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm395}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2024051}
\zmath{https://zbmath.org/?q=an:1077.14055}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2003
\vol 241
\pages 164--176
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