The Eliahou-Kervaire resolution is cellular

DOI10.1216/JCA-2010-2-1-55zbMath1237.13028OpenAlexW2033464338MaRDI QIDQ412486

Jeffrey Mermin

Publication date: 4 May 2012

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jca/1269437255

zbMATH Keywords

free resolutionstable idealcellular complex

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (17)

Polarizations and hook partitions ⋮ Face rings of cycles, associahedra, and standard Young tableaux ⋮ Alternative polarizations of Borel fixed ideals, Eliahou-Kervaire type resolution and discrete Morse theory ⋮ Minimal cellular resolutions of the edge ideals of forests ⋮ Barile-Macchia resolutions ⋮ Combinatorics and Algebra of Geometric Subdivision Operations ⋮ Borel generators ⋮ Cellular resolutions from mapping cones ⋮ Betti tables of \(p\)-Borel-fixed ideals ⋮ On the free resolution induced by a Pommaret basis ⋮ Frames and degenerations of monomial resolutions ⋮ Minimal free resolutions of certain equigenerated monomial ideals ⋮ Cellular structure for the Herzog-Takayama resolution ⋮ On CW complexes supporting Eliahou-Kervaire type resolutions of Borel fixed ideals ⋮ Regular CW-Complexes and Poset Resolutions of Monomial Ideals ⋮ Generalized Newton complementary duals of monomial ideals ⋮ Minimal free resolutions of monomial ideals and of toric rings are supported on posets

Cites Work

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• Poset resolutions and lattice-linear monomial ideals
• Minimal free resolutions that are not supported by a CW-complex
• Discrete Morse theory for cellular resolutions
• A Minimal Poset Resolution of Stable Ideals
• Minimal resolutions via algebraic discrete Morse theory
• Monomial and toric ideals associated to Ferrers graphs
• Cellular resolutions of monomial modules

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