Computation of Betti numbers of monomial ideals associated with stacked polytopes

DOI10.1007/BF02678204zbMath0882.13018OpenAlexW2751891529MaRDI QIDQ1360902

Naoki Terai, Takayuki Hibi

Publication date: 4 September 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156274

zbMATH Keywords

Stanley-Reisner ringminimal free resolutionBetti numbersingular homologystacked polytopeunimodal Betti sequence

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03)

Related Items

Componentwise linear ideals, Computation of Betti numbers of monomial ideals associated with cyclic polytopes, Graded Betti numbers of balanced simplicial complexes, Some results on Betti numbers of Stanley-Reisner rings, Average Betti numbers of induced subcomplexes in triangulations of manifolds, Bigraded Betti numbers of certain simple polytopes, Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers., Tight combinatorial manifolds and graded Betti numbers, Empty simplices of polytopes and graded Betti numbers, Stanley-Reisner rings of generalized truncation polytopes and their moment-angle manifolds, A Note on Cohen–Macaulayness of Stanley–Reisner Rings with Serre's Condition (S₂), Rigidity problems in toric topology: a survey, Multiplicity and Castelnuovo-Mumford regularity of Stanley-Reisner rings

Cites Work

• Cohen-Macaulay partially ordered sets with pure resolutions
• Combinatorics and commutative algebra.
• Computation of Betti numbers of monomial ideals associated with cyclic polytopes
• Stanley-reisner rings with pure resolutions
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