Generalized polygons with non-discrete valuation defined by two-dimensional affine R-buildings

Details Generalized polygons with non-discrete valuation defined by two-dimensional affine R-buildings Generalized polygons with non-discrete valuation defined by two-dimensional affine R-buildings

2009-09-27

arxiv.org/abs/0909.4962v1

Mathematics

Metric Geometry

Scientific paper

In this paper, we show that the building at infinity of a two-dimensional affine R-building 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 G~_2, and it reproves the results obtained mainly by the second author for types A~_2 and C~_2. 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).

Affiliated with

Also associated with

No associations

Rating

Generalized polygons with non-discrete valuation defined by two-dimensional affine R-buildings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized polygons with non-discrete valuation defined by two-dimensional affine R-buildings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized polygons with non-discrete valuation defined by two-dimensional affine R-buildings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-316757