Cohen-Macaulayness of almost complete intersection tangent cones

DOI10.1016/j.jalgebra.2007.11.023zbMath1154.13008OpenAlexW2081445959MaRDI QIDQ932860

Takafumi Shibuta

Publication date: 11 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.11.023

zbMATH Keywords

tangent coneCohen-Macaulaymonomial curve in codimension three

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14)

Related Items (9)

Minimal free resolution of the associated graded ring of monomial curves of generalized arithmetic sequences ⋮ Minimal free resolution of a finitely generated module over a regular local ring ⋮ On pseudo symmetric monomial curves ⋮ CONSECUTIVE CANCELLATIONS IN FILTERED FREE RESOLUTIONS ⋮ Regularity and linearity defect of modules over local rings ⋮ CM defect and Hilbert functions of monomial curves ⋮ LIFTINGS OF A MONOMIAL CURVE ⋮ Betti numbers under small perturbations ⋮ Consecutive cancellations in Betti numbers of local rings

Cites Work

• Almost complete intersections are not Gorenstein rings
• The leading ideal of a complete intersection of height two
• When is a regular sequence super regular?
• On the equations defining tangent cones
• Sous-monoïdes d'intersection complète de $N$
• Form rings and regular sequences
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
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