Order ideals, annihilator ideals and pathological behavior

DOI10.1216/JCA-2016-8-1-43zbMath1353.13012OpenAlexW2316840983MaRDI QIDQ262660

Phillip Griffith, E. Graham jun. Evans

Publication date: 30 March 2016

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

Full work available at URL: https://projecteuclid.org/euclid.jca/1459169544

zbMATH Keywords

Betti numbersorder idealsregular local ringssyzygy rank

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Strong generic vanishing and a higher-dimensional Castelnuovo-de Franchis inequality
• Derivative complex, BGG correspondence, and numerical inequalities for compact Kähler manifolds
• Syzygy theorems via comparison of order ideals on a hypersurface
• Betti numbers of multigraded modules
• Binomial behavior of Betti numbers for modules of finite length
• The syzygy problem
• A deformation theory approach to Betti numbers of finite length modules
• 'Jede' endliche freie Auflösung ist freie Auflösung eines von drei Elementen erzeugten Ideals
• The monomial conjecture and order ideals
• \(K\)-theory and stable algebra
• On the bettinumbers of finite pure and linear resolutions
• Order Ideals of Minimal Generators

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