Singularities of toric varieties associated with finite distributive lattices

DOI10.1023/A:1022469218716zbMath0870.14037OpenAlexW1511785717MaRDI QIDQ1915159

David G. Wagner

Publication date: 17 September 1997

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

Full work available at URL: https://doi.org/10.1023/a:1022469218716

zbMATH Keywords

toric varietyfinite distributive latticejoin-irreducible elementsprojective varietyfinite bounded poset

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Combinatorics of partially ordered sets (06A07) Structure and representation theory of distributive lattices (06D05)

Related Items

The first syzygy of Hibi rings associated with planar distributive lattices ⋮ Schubert varieties, toric varieties and ladder determinantal varieties ⋮ Minuscule Schubert varieties and mirror symmetry ⋮ Two Double Poset Polytopes ⋮ Gorenstein braid cones and crepant resolutions ⋮ Smooth Fano polytopes arising from finite partially ordered sets ⋮ Order-preserving maps from a poset to a chain, the order polytope, and the Todd class of the associated toric variety. ⋮ Singular loci of Grassmann-Hibi toric varieties ⋮ Singular loci of Bruhat-Hibi toric varieties ⋮ The Brauer group of a toric variety associated to a finite distributive lattice ⋮ A sagbi basis for the quantum Grassmannian ⋮ Lower bounds for real solutions to sparse polynomial systems ⋮ Syzygies of Hibi rings ⋮ The algebra of flows in graphs ⋮ On the regularity of join-meet ideals of modular lattices

Cites Work

• Diagrams for modular lattices
• Two poset polytopes
• Hilbert functions of Cohen-Macaulay integral domains and chain conditions of finite partially ordered sets
• On the Hilbert function of a graded Cohen-Macaulay domain
• Hilbert functions of graded algebras
• Crowns, cutsets, and valuable partial orders
• Binomial ideals
• Introduction to Toric Varieties. (AM-131)
• A Minimax Theorem for Directed Graphs
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
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