Generalized polygons with non-discrete valuation defined by two-dimensional affine R-buildings
نویسندگان
چکیده
In this paper, we show that the building at infinity of a two-dimensional affine Rbuilding is a generalized polygon endowed with a valuation satisfying some specific axioms. Specializing to the discrete case of affine buildings, this solves part of a long standing conjecture about affine buildings of type G̃2, and it reproves the results obtained mainly by the second author for types Ã2 and C̃2. The techniques are completely different from the ones employed in the discrete case, but they are considerably shorter, and general (i.e., independent of the type of the two-dimensional R-building).
منابع مشابه
Two-dimensional affine R-buildings defined by generalized polygons with non-discrete valuation
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