Cellular resolutions from mapping cones
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Publication:458296
DOI10.1016/j.jcta.2014.08.007zbMath1301.05379arXiv1311.4599OpenAlexW2024565432MaRDI QIDQ458296
Anton Dochtermann, Fatemeh Mohammadi
Publication date: 7 October 2014
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.4599
Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)
Related Items (14)
Some homological properties of Borel type ideals ⋮ Standard monomial theory and toric degenerations of Richardson varieties in the Grassmannian ⋮ Divisors on graphs, binomial and monomial ideals, and cellular resolutions ⋮ Face rings of cycles, associahedra, and standard Young tableaux ⋮ Types of signature analysis in reliability based on Hilbert series ⋮ Toric degenerations of Grassmannians and Schubert varieties from matching field tableaux ⋮ Polarization and depolarization of monomial ideals with application to multi-state system reliability ⋮ Toric degenerations of partial flag varieties and combinatorial mutations of matching field polytopes ⋮ Resolutions of co-letterplace ideals and generalizations of Bier spheres ⋮ Exposed circuits, linear quotients, and chordal clutters ⋮ Toric degenerations of flag varieties from matching field tableaux ⋮ Toric degenerations of Grassmannians from matching fields ⋮ Minimal free resolutions of monomial ideals and of toric rings are supported on posets ⋮ Simplicial complexes of Whisker type
Cites Work
- Cellular resolutions of ideals defined by nondegenerate simplicial homomorphisms
- The Eliahou-Kervaire resolution is cellular
- Monomial ideals and toric rings of Hibi type arising from a finite poset
- Cellular resolutions of cointerval ideals
- Tropical types and associated cellular resolutions
- Minimal resolutions of some monomial ideals
- On Borel fixed ideals generated in one degree
- Properties of lexsegment ideals
- On the Betti numbers of the edge ideals of some hypergraphs
- Betti numbers of monomial ideals and shifted skew shapes
- Resolutions by mapping cones
- Shellings of spheres and polytopes
- Syzygies of oriented matroids
- Cellular structure for the Herzog-Takayama resolution
- Complexes of graph homomorphisms
- Minimal free resolutions that are not supported by a CW-complex
- Discrete Morse theory for cellular resolutions
- Monomial and toric ideals associated to Ferrers graphs
- Cellular resolutions of monomial modules
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