Convex rank 1 subsets of Euclidean buildings (of type $A_2$)

dc.creatorBalser, Andreas
dc.date2006-10-30
dc.date.accessioned2026-07-07T07:29:38Z
dc.date.available2026-07-07T07:29:38Z
dc.descriptionFor a Euclidean building $X$ of type $A_{2}$, we classify the 0-dimensional subbuildings $A$ of $\partial_{T}X$ that occur as the asymptotic boundary of closed convex subsets. In particular, we show that triviality of the holonomy of a triple (of points of $A$) is (essentially) sufficient. To prove this, we construct new convex subsets as the union of convex sets.
dc.description48 pages
dc.identifierhttps://arxiv.org/abs/math/0610947
dc.identifierhttp://arxiv.org/abs/math/0610947
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118190
dc.subjectMetric Geometry
dc.subjectDifferential Geometry
dc.subject53C20
dc.titleConvex rank 1 subsets of Euclidean buildings (of type $A_2$)
dc.typetext

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