Betti numbers and shifts in minimal graded free resolutions

zbMath1236.05214arXivmath/0701190MaRDI QIDQ648748

Tim Römer

Publication date: 28 November 2011

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701190

zbMATH Keywords

total Betti-numbers

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Syzygies, resolutions, complexes and commutative rings (13D02) Cohen-Macaulay modules (13C14)

Related Items

Lower Bounds on Betti Numbers ⋮ A note on the multiplicity and final Betti number of a level algebra ⋮ Symbolic powers of codimension two Cohen-Macaulay ideals ⋮ Betti numbers of determinantal ideals

Uses Software

• CoCoA
• BoijSoederberg

Cites Work

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• A criterion for detecting m-regularity
• The multiplicity conjecture in low codimensions
• Minimal resolutions of some monomial ideals
• Ideals with stable Betti numbers
• Note on bounds for multiplicities
• Rigid resolutions and big Betti numbers
• Betti numbers of determinantal ideals
• Notes on the multiplicity conjecture
• 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
• A Note on the Multiplicity of Cohen-Macaulay Algebras with Pure Resolutions
• Bounds for multiplicities
• Componentwise linear ideals