Consecutive cancellations in Betti numbers of local rings

DOI10.1090/S0002-9939-09-10010-2zbMath1183.13020arXiv0904.1086MaRDI QIDQ3402158

Leila Sharifan, Maria Evelina Rossi

Publication date: 2 February 2010

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

Full work available at URL: https://arxiv.org/abs/0904.1086

zbMATH Keywords

minimal free resolutionBetti numbersstandard basesassociated graded modulefiltered modulelexicographic ideal

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (11)

Consecutive cancellations in Tor modules over local rings ⋮ Artinian level algebras of socle degree 4 ⋮ Minimal free resolution of a finitely generated module over a regular local ring ⋮ On the Hilbert function of one-dimensional local complete intersections ⋮ Resolutions in local algebra and singularity theory. Abstracts from the workshop held February 5--11, 2023 ⋮ Limits of graded Gorenstein algebras of Hilbert function \((1,3^k,1)\) ⋮ CONSECUTIVE CANCELLATIONS IN FILTERED FREE RESOLUTIONS ⋮ Regularity and linearity defect of modules over local rings ⋮ Canonical Hilbert-Burch matrices for power series ⋮ Betti numbers under small perturbations ⋮ The tangent cone of a local ring of codimension 2

Uses Software

• CoCoA

Cites Work

• Deformation classes of graded modules and maximal Betti numbers
• Structure theorems for certain Gorenstein ideals
• Minimal resolutions of some monomial ideals
• Cohen-Macaulayness of almost complete intersection tangent cones
• Hilbert functions of filtered modules
• Hilbert function of local Artinian level rings in codimension two
• On the Depth of the Symmetric Algebra
• On the equations defining tangent cones
• Punctual Hilbert schemes
• The Geometry of Syzygies
• Consecutive cancellations in Betti numbers
• Upper bounds for the betti numbers of a given hilbert function
• Maximum betti numbers of homogeneous ideals with a given hilbert function
• The depth of an ideal with a given Hilbert function

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