Filtering free resolutions

DOI10.1112/S0010437X12000760zbMath1282.13017arXiv1001.0585OpenAlexW1970202552MaRDI QIDQ5299339

Frank-Olaf Schreyer, Daniel Erman, David Eisenbud

Publication date: 25 June 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0585

zbMATH Keywords

syzygiesfree resolutionsBoij-Söderberg theory

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Syzygies, resolutions, complexes and commutative rings (13D02) Cohen-Macaulay modules (13C14)

Related Items (7)

Categorified duality in Boij-Söderberg theory and invariants of free complexes ⋮ Supernatural analogues of Beilinson monads ⋮ Koszul homology of codimension 3 Gorenstein ideals ⋮ Three themes of syzygies ⋮ Syzygies of \(\mathbb{P}^1 \times \mathbb{P}^1\): data and conjectures ⋮ Questions about Boij-S\"oderberg theory ⋮ Foundations of Boij–Söderberg theory for Grassmannians

Uses Software

• Macaulay2

Cites Work

• Betti numbers of graded modules and the multiplicity conjecture in the non-Cohen-Macaulay case
• Pieri resolutions for classical groups.
• The existence of equivariant pure free resolutions
• Cohomology of coherent sheaves and series of supernatural bundles
• The semigroup of Betti diagrams
• A special case of the Buchsbaum-Eisenbud-Horrocks rank conjecture
• 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
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3

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