An algebraic approach to projective uniqueness with an application to order polytopes

DOI10.1007/s00454-021-00347-8zbMath1487.13055arXiv2005.00640OpenAlexW3215768868MaRDI QIDQ2117349

Juan Camilo Torres, João Gouveia, Tristram C. Bogart

Publication date: 21 March 2022

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

Full work available at URL: https://arxiv.org/abs/2005.00640

zbMATH Keywords

order polytopesprojectively unique polytopesMcMullen's operationsslack ideals

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Combinatorics of partially ordered sets (06A07) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Uses Software

• 2L_enum
• SlackIdeals

Cites Work

• Unnamed Item
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• Two poset polytopes
• A construction for projectively unique polytopes
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• Projectively unique polytopes and toric slack ideals
• Which nonnegative matrices are slack matrices?
• Realization spaces of polytopes
• On Vertices and Facets of Combinatorial 2-Level Polytopes
• Lectures on Polytopes
• Convex Polytopes
• The Slack Realization Space of a Polytope
• Tensor-multinomial sums of ideals: Primary decompositions and persistence of associated primes