Stabilization of Boij-Söderberg decompositions of ideal powers

DOI10.1016/j.jpaa.2018.04.007zbMath1403.13027arXiv1509.08544OpenAlexW2962735100MaRDI QIDQ1789651

Sarah Mayes-Tang

Publication date: 10 October 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08544

zbMATH Keywords

Betti diagramsstabilization of Boij-Söderberg decompositions

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (4)

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 ⋮ Virtual resolutions of monomial ideals on toric varieties

Uses Software

• Macaulay2
• BoijSoederberg

Cites Work

• Unnamed Item
• Betti numbers of graded modules and the multiplicity conjecture in the non-Cohen-Macaulay case
• The existence of equivariant pure free resolutions
• On the Gorenstein property of the diagonals of the Rees algebra
• Ideals of graph homomorphisms
• Stabilization of Betti tables
• Betti numbers of graded modules and cohomology of vector bundles
• Decompositions of Betti Diagrams of Powers of Monomial Ideals: A Stability Conjecture
• Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture
• Homological Invariants of Powers of an Ideal

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