Homology of Powers of Ideals: Artin-Rees Numbers of Syzygies and the Golod Property

DOI10.1142/S1005386716000584zbMath1360.13012arXiv1108.5862OpenAlexW2964216409MaRDI QIDQ3179772

Jürgen Herzog, Siamak Yassemi, Volkmar Welker

Publication date: 20 December 2016

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5862

zbMATH Keywords

Castelnuovo-Mumford regularitysyzygyBetti numberGolod ringdeviationArtin-Rees number

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (4)

Ordinary and symbolic powers are Golod ⋮ The Golod property for powers of ideals and Koszul ideals ⋮ Betti numbers under small perturbations ⋮ ON THE ASYMPTOTIC BEHAVIOR OF THE LINEARITY DEFECT

Cites Work

• Unnamed Item
• The Betti polynomials of powers of an ideal
• Poincaré series of modules over local rings of small embedding codepth or small linking number
• Local rings and Golod homomorphisms
• Powers of ideals. Primary decompositions, Artin-Rees lemma and regularity
• Powers of ideals and fibers of morphisms
• The asymptotic nature of the analytic spread
• Asymptotic behaviour of Castelnuovo-Mumford regularity
• Notes on regularity stabilization

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