Non-simplicial decompositions of Betti diagrams of complete intersections

DOI10.1216/JCA-2015-7-2-189zbMath1327.13048arXiv1301.3441OpenAlexW2124405358MaRDI QIDQ491431

Jack Jeffries, Bryan White, Claudiu Raicu, Branden Stone, Sarah Mayes-Tang, Courtney R. Gibbons

Publication date: 25 August 2015

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

Full work available at URL: https://arxiv.org/abs/1301.3441

zbMATH Keywords

complete intersectionpure resolutionBetti diagram

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Theory of modules and ideals in commutative rings (13C99)

Related Items (6)

Rational combinations of Betti diagrams of complete intersections ⋮ Boij-Söderberg decompositions of lexicographic ideals ⋮ 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

Uses Software

• Macaulay2
• BoijSoederberg

Cites Work

• Combinatorial interpretations of some Boij-Söderberg decompositions
• Betti numbers of graded modules and the multiplicity conjecture in the non-Cohen-Macaulay case
• A polynomial bound on the regularity of an ideal in terms of half of the syzygies
• Betti numbers of graded modules and cohomology of vector bundles
• Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture
• Bounds for the multiplicity of Gorenstein algebras

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