Specializations of Ferrers ideals
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Publication:1016022
DOI10.1007/s10801-007-0111-2zbMath1179.13008arXivmath/0703695OpenAlexW2052514409MaRDI QIDQ1016022
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
bipartite graphfree resolutionthreshold graphedge idealcellular resolutionFerrers graphstrongly stable ideal
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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