Specializations of Ferrers ideals

DOI10.1007/s10801-007-0111-2zbMath1179.13008arXivmath/0703695OpenAlexW2052514409MaRDI QIDQ1016022

Alberto Corso, Uwe Nagel

Publication date: 4 May 2009

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703695

zbMATH Keywords

bipartite graphfree resolutionthreshold graphedge idealcellular resolutionFerrers graphstrongly stable ideal

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (19)

Blow-up algebras, determinantal ideals, and Dedekind-Mertens-like formulas ⋮ Applications of Liaison ⋮ Multigraded Betti numbers without computing minimal free resolutions ⋮ Combinatorial interpretations of some Boij-Söderberg decompositions ⋮ Cellular resolutions of ideals defined by nondegenerate simplicial homomorphisms ⋮ Matroid configurations and symbolic powers of their ideals ⋮ The Eliahou-Kervaire resolution is cellular ⋮ Barile-Macchia resolutions ⋮ A formula for the core of certain strongly stable ideals ⋮ Cellular resolutions of cointerval ideals ⋮ Letterplace and co-letterplace ideals of posets ⋮ Cellular Structure on the Minimal Resolution of the Edge Ideal of the Complement of then-Cycle ⋮ The uniform face ideals of a simplicial complex ⋮ Monomial and toric ideals associated to Ferrers graphs ⋮ Bounding Betti numbers of bipartite graph ideals ⋮ Generalized Newton complementary duals of monomial ideals ⋮ Subalgebras generated in degree two with minimal Hilbert function ⋮ Betti numbers of fat forests and their Alexander dual ⋮ Minimal free resolutions of monomial ideals and of toric rings are supported on posets

Cites Work

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• Minimal resolutions of some monomial ideals
• Shifted set families, degree sequences, and plethysm
• Squarefree lexsegment ideals
• Threshold graphs and related topics
• Linear resolutions of quadratic monomial ideals
• Lifting monomial ideals
• Small schemes and varieties of minimal degree
• Monomial and toric ideals associated to Ferrers graphs
• Cellular resolutions of monomial modules

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