Algebraic shifting of cyclic polytopes and stacked polytopes

DOI10.1016/j.disc.2006.09.018zbMath1129.52007OpenAlexW2010925427MaRDI QIDQ879386

Satoshi Murai

Publication date: 11 May 2007

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2006.09.018

zbMATH Keywords

simplicial complexstacked polytopecyclic polytopeshifting operationsimplicial spherecombinatoral shiftingexterior shiftingshifted complexsymmetric shifting

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Polyhedral manifolds (52B70)

Related Items

Algebraic shifting of strongly edge decomposable spheres ⋮ Lefschetz properties and basic constructions on simplicial spheres ⋮ Gorenstein rings through face rings of manifolds

Cites Work

• Generic initial ideals and exterior algebraic shifting of the join of simplicial complexes
• Hyperconnectivity of graphs
• An extended Euler-Poincaré theorem
• Gotzmann theorems for exterior algebras and combinatorics
• Combinatorics and commutative algebra.
• Algebraic shifting and basic constructions on simplicial complexes
• A proof of the lower bound conjecture for convex polytopes
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Algebraic shifting and graded Betti numbers
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