Many projectively unique polytopes

DOI10.1007/s00222-014-0519-yzbMath1339.52011arXiv1212.5812OpenAlexW2068488136MaRDI QIDQ2017450

Karim A. Adiprasito, Günter M. Ziegler

Publication date: 23 March 2015

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5812

zbMATH Keywords

polytopescross-bedding cubical toriLawrence extensionsprojectively unique polytopesrealization space of polytopes

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) (n)-dimensional polytopes (52B11) Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Polyhedral manifolds (52B70)

Related Items

Scribability problems for polytopes ⋮ A universality theorem for projectively unique polytopes and a conjecture of Shephard ⋮ ON THE DIMENSIONS OF THE REALIZATION SPACES OF POLYTOPES ⋮ Universality theorems for inscribed polytopes and Delaunay triangulations ⋮ On the realization space of the cube ⋮ Combining realization space models of polytopes ⋮ Neighborly inscribed polytopes and Delaunay triangulations ⋮ Geometry and the simplex: results, questions and ideas ⋮ On the realization space of the cube ⋮ Projectively unique polytopes and toric slack ideals ⋮ Six Topics on Inscribable Polytopes ⋮ An algebraic approach to projective uniqueness with an application to order polytopes

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