A finite classification of \((x, y)\)-primary ideals of low multiplicity

DOI10.1007/s13348-017-0196-4zbMath1392.13003OpenAlexW2604172141MaRDI QIDQ1697765

Jason McCullough, Paolo Mantero

Publication date: 20 February 2018

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

Full work available at URL: https://doi.org/10.1007/s13348-017-0196-4

zbMATH Keywords

projective dimensionprimary idealmultiple structures

Mathematics Subject Classification ID

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

Related Items (3)

The projective dimension of three cubics is at most 5 ⋮ On the smoothness of lexicographic points on Hilbert schemes ⋮ On the projective dimension of \(5\) quadric almost complete intersections with low multiplicities

Uses Software

• Macaulay2

Cites Work

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• Linear free resolutions and minimal multiplicity
• Open problems on syzygies and Hilbert functions
• Multiple structures with arbitrarily large projective dimension supported on linear subspaces
• A bound on the projective dimension of three cubics
• The structure of linkage
• Codimension two linear varieties with nilpotent structures
• Liaison des variétés algébriques. I
• A tight bound on the projective dimension of four quadrics
• Ideals generated by quadratic polynomials
• On the projective dimension and the unmixed part of three cubics
• Three themes of syzygies
• Multiple Structures and Hartshorne's Conjecture
• Commutative Algebra

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