Combinatorial interpretations of some Boij-Söderberg decompositions

DOI10.1016/j.jalgebra.2013.01.027zbMath1279.13023arXiv1203.6515OpenAlexW2964230800MaRDI QIDQ375191

Uwe Nagel, Stephen Sturgeon

Publication date: 28 October 2013

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

Full work available at URL: https://arxiv.org/abs/1203.6515

zbMATH Keywords

Gorenstein ringStanley-Reisner ringBetti numberslinear resolutionBoij-Söderberg theoryFerrers hypergraph

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Structure, classification theorems for modules and ideals in commutative rings (13C05) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Related Items

Categorified duality in Boij-Söderberg theory and invariants of free complexes ⋮ Non-simplicial decompositions of Betti diagrams of complete intersections ⋮ Boij-Söderberg decompositions of lexicographic ideals ⋮ The uniform face ideals of a simplicial complex ⋮ A categorical approach to linkage ⋮ Three themes of syzygies ⋮ On Decomposing Betti Tables andO-Sequences ⋮ Syzygies of \(\mathbb{P}^1 \times \mathbb{P}^1\): data and conjectures ⋮ Questions about Boij-S\"oderberg theory ⋮ Recursive strategy for decomposing Betti tables of complete intersections ⋮ Foundations of Boij–Söderberg theory for Grassmannians

Uses Software

• BoijSoederberg

Cites Work

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