Asymptotic behavior of dimensions of syzygies

DOI10.1090/S0002-9939-2013-11510-8zbMath1274.13025arXiv1110.4582MaRDI QIDQ2839295

Micah J. Leamer, Kristen A. Beck

Publication date: 5 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4582

zbMATH Keywords

asymptotic behaviorsyzygyBetti numberseventually non-decreasing

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Syzygies, resolutions, complexes and commutative rings (13D02)

Uses Software

• Macaulay2

Cites Work

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• Séries de Poincaré et modules inertes. (Poincaré series and inert modules)
• A local ring is CM if and only if its residue field has a CM syzygy
• Growth of Betti numbers of modules over local rings of small embedding codimension or small linkage number
• Growth of Betti numbers of modules over generalized Golod rings
• Complete intersection dimension
• Betti numbers and the integral closure of ideals.
• Hilbert-Samuel polynomials for the contravariant extension functor