Computing min-convex hulls in the affine building of \(\mathrm{SL}_d\)

DOI10.1007/s00454-020-00223-xzbMath1473.52023arXiv1811.08884OpenAlexW3040653105MaRDI QIDQ2022629

Leon Zhang

Publication date: 29 April 2021

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08884

zbMATH Keywords

affine buildingstropical geometrynon-Archimedean lattices

Mathematics Subject Classification ID

Geometric aspects of tropical varieties (14T20) Computational aspects related to convexity (52B55) Buildings and the geometry of diagrams (51E24) Combinatorial aspects of simplicial complexes (05E45)

Related Items (2)

Multivariate volume, Ehrhart, and \(h^\ast \)-polynomials of polytropes ⋮ Orders and polytropes: matrix algebras from valuations

Uses Software

• polymake

Cites Work

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• Local tropical linear spaces
• Non-discrete affine buildings and convexity
• Mustafin varieties
• The tree of life and other affine buildings
• Tropical convexity
• Geometry of Chow quotients of Grassmannians
• Local models of Shimura varieties, I. Geometry and combinatorics
• Buildings
• Essentials of Tropical Combinatorics
• Buildings, spiders, and geometric Satake
• Affine Buildings and Tropical Convexity
• The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra

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