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Authors: Lizhen Ji, Anna-Sofie Schilling
Date Published: 2018
Publication Type: Journal
Citation: L’Enseignement Mathèmatique, 63:375–401
Created: 7th Sep 2019 at 12:12, Last updated: 5th Mar 2024 at 21:23
Abstract (Expand)
We consider horofunction compactifications of symmetric spaces with respect to invariant Finsler metrics. We show that any (generalized) Satake compactification can be realized as a horofunction … compactification with respect to a polyhedral Finsler metric.
Authors: Thomas Haettel, Anna-Sofie Schilling, Cormac Walsh, Anna Wienhard
Date Published: 2017
Publication Type: Misc
Citation: arXiV:1705.05026 [math.DG]
Created: 7th Jan 2020 at 22:31, Last updated: 5th Mar 2024 at 21:24
Abstract (Expand)
In this paper we answer positively a question raised by Kapovich and Leeb in a recent paper titled "Finsler bordifications of symmetric and certain locally symmetric spaces". Specifically, … we show that for a finite-dimensional vector space with polyhedral norm, its horofunction compactification is homeomorphic to the dual unit ball of the norm by an explicit map. To prove this we establish a criterion for converging sequences in the horofunction compactification, and generalize the basic notion of the moment map in the theory of toric varieties.
Authors: Lizhen Ji, Anna-Sofie Schilling
Date Published: 2016
Publication Type: Misc
Citation: arXiv,math.GT,1607.00564
Created: 30th Jan 2020 at 09:42, Last updated: 5th Mar 2024 at 21:24