Order-preserving maps from a poset to a chain, the order polytope, and the Todd class of the associated toric variety.

DOI10.1016/S0195-6698(03)00091-XzbMath1046.52010OpenAlexW1967094823MaRDI QIDQ1413225

Hugh Thomas

Publication date: 16 November 2003

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(03)00091-x

zbMATH Keywords

toric varietiesposetsorder polytopesTodd class

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Combinatorics of partially ordered sets (06A07)

Related Items

Smooth Fano polytopes arising from finite partially ordered sets

Cites Work

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• Two poset polytopes
• Pick's theorem and the Todd class of a toric variety
• Singularities of toric varieties associated with finite distributive lattices
• Introduction to Toric Varieties. (AM-131)
• THE GEOMETRY OF TORIC VARIETIES
• Non-linear angle-sum relations for polyhedral cones and polytopes
• Valuations and Euler-Type Relations on Certain Classes of Convex Polytopes
• Ordered structures and partitions