Ideals with larger projective dimension and regularity
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Publication:719754
DOI10.1016/j.jsc.2011.05.011zbMath1226.13016arXiv1101.3368OpenAlexW1969062391MaRDI QIDQ719754
Luis Núñez-Betancourt, Alexandra Seceleanu, Bart Snapp, Branden Stone, Jason McCullough, Jesse S. Beder
Publication date: 11 October 2011
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.3368
Homological dimension and commutative rings (13D05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Syzygies, resolutions, complexes and commutative rings (13D02)
Related Items (12)
Annihilators of Koszul homologies and almost complete intersections ⋮ Cubics in 10 variables vs. cubics in 1000 variables: Uniformity phenomena for bounded degree polynomials ⋮ The regularity conjecture for prime ideals in polynomial rings ⋮ Syzygies over a polynomial ring ⋮ Multiple structures with arbitrarily large projective dimension supported on linear subspaces ⋮ Strength conditions, small subalgebras, and Stillman bounds in degree ≤4 ⋮ The projective dimension of codimension two algebras presented by quadrics ⋮ On the maximal graded shifts of ideals and modules ⋮ A tight bound on the projective dimension of four quadrics ⋮ Three themes of syzygies ⋮ Small subalgebras of polynomial rings and Stillman’s Conjecture ⋮ Counterexamples to the Eisenbud–Goto regularity conjecture
Uses Software
Cites Work
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- A family of ideals with few generators in low degree and large projective dimension
- A property of local cohomology modules of polynomial rings
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