Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part II, section 3, pages 223-237

The Bruhat-Tits buildings over higher dimensional local fields

A. N. Parshin

Abstract. This work introduces author's theory of Bruhat-Tits buildings over higher dimensional local fields. The theory is illustrated with the buildings for PGL(2) and PGL(3) for one- and two-dimensional local fields.
Keywords. Bruhat-Tis buildings, higher dimensional local fields.
AMS subject classification. 20G35, 20G99.

E-print: arXiv:math.NT/0012153

A. N. Parshin
Department of algebra, Steklov mathematical institute, ul. Gubkina 8, Moscow GSP-1, 117966 Russia
Email: parshin@mi.ras.ru

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