Combinatorics comes to the rescue: \(h\)-vectors in commutative algebra

DOI10.1007/s00283-018-9826-2zbMath1423.13114OpenAlexW2900441326MaRDI QIDQ666893

M. R. Pournaki, Siamak Yassemi, Angelina Yan Mui Chin, Seyed Amin Seyed Fakhari

Publication date: 12 March 2019

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00283-018-9826-2

Mathematics Subject Classification ID

Cites Work

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• On the \(h\)-vector of a simplicial complex with Serre's condition
• f-vectors and h-vectors of simplicial posets
• \(h\)-vectors of Gorenstein polytopes
• \(H\)-vectors of simplicial complexes with Serre's conditions
• The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem
• The number of faces of a simplicial convex polytope
• Cohen-Macaulay graphs
• Combinatorics and commutative algebra.
• On the \(h\)-vector of a lattice path matroid
• Coxeter cones and their \(h\)-vectors
• The numbers of faces of simplicial polytopes
• On the ubiquity of Gorenstein rings
• Theh-Vector of a Relatively Compressed Level Algebra
• On the degree two entry of a Gorenstein $h$-vector and a conjecture of Stanley
• Some applications of the Frobenius in characteristic 0
• Sufficiency of McMullen’s conditions for 𝑓-vectors of simplicial polytopes
• Non-Cohen–Macaulay Projective Monomial Curves with Positive h-Vector
• Lower Bounds forh-Vectors ofk-CM, Independence, and Broken Circuit Complexes
• A GENERALIZATION OF THE SWARTZ EQUALITY
• An Arithmetic Theory of Adjoint Plane Curves
• On the Structure and Ideal Theory of Complete Local Rings

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