A classification of the face numbers of Buchsbaum simplicial posets

DOI10.1007/s00209-014-1286-6zbMath1303.52005arXiv1307.1548OpenAlexW1974255637MaRDI QIDQ2509930

Jonathan Browder, Steven Klee

Publication date: 31 July 2014

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1548

zbMATH Keywords

Betti numbersCohen-MacaulayBuchsbaumsimplicial poset\(h\)-numbers\(h'\)-numbers

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Algebraic aspects of posets (06A11) Combinatorial aspects of simplicial complexes (05E45)

Related Items (2)

Ext and local cohomology modules of face rings of simplicial posets ⋮ Face numbers and the fundamental group

Cites Work

• Face vectors of simplicial cell decompositions of manifolds
• \(h\)-vectors of Gorenstein* simplicial posets
• Centrally symmetric manifolds with few vertices
• Posets, regular CW complexes and Bruhat order
• f-vectors and h-vectors of simplicial posets
• Socles of Buchsbaum modules, complexes and posets
• A graph-theoretical representation of PL-manifolds -- a survey on crystallizations
• On the number of faces of simplicial complexes and the purity of Frobenius
• Cohen-Macaulay quotients of polynomial rings
• A short simplicial \(h\)-vector and the upper bound theorem
• Combinatorics and commutative algebra.
• $h$-vectors of simplicial cell balls
• Lower Bounds forh-Vectors ofk-CM, Independence, and Broken Circuit Complexes

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