The cone of Betti tables over three non-collinear points in the plane

DOI10.1216/JCA-2016-8-4-537zbMath1367.13010arXiv1501.00207MaRDI QIDQ502913

Steven V. Sam, Iulia Gheorghita

Publication date: 11 January 2017

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

Full work available at URL: https://arxiv.org/abs/1501.00207

zbMATH Keywords

free resolutionsBoij-Söderberg theoryBetti tables

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (4)

Towards Boij-Söderberg theory for Grassmannians: the case of square matrices ⋮ Extremal rays of Betti cones ⋮ Questions about Boij-S\"oderberg theory ⋮ Foundations of Boij–Söderberg theory for Grassmannians

Uses Software

• Macaulay2
• BoijSoederberg

Cites Work

• Unnamed Item
• Betti numbers of graded modules and the multiplicity conjecture in the non-Cohen-Macaulay case
• The classification of homogeneous Cohen-Macaulay rings of finite representation type
• The cone of Betti diagrams over a hypersurface ring of low embedding dimension
• Shapes of free resolutions over a local ring
• Categorified duality in Boij-Söderberg theory and invariants of free complexes
• The cone of Betti tables over a rational normal curve
• Betti numbers of graded modules and cohomology of vector bundles
• On the bettinumbers of finite pure and linear resolutions
• Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture

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