The leading ideal of a complete intersection of height two

DOI10.1016/j.jalgebra.2005.07.020zbMath1097.13015OpenAlexW2027448655MaRDI QIDQ2491845

Shiro Goto, Mee-Kyoung Kim, William J. Heinzer

Publication date: 29 May 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.07.020

zbMATH Keywords

Gorenstein ringmultiplicityreduction numberideal of initial forms

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) Ideals and multiplicative ideal theory in commutative rings (13A15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

The leading ideal of a complete intersection of height two. II. ⋮ The Leading Ideal of a Complete Intersection of Height Two, Part III ⋮ On the Hilbert function of one-dimensional local complete intersections ⋮ The Leading Ideal of a Complete Intersection of Height Two in a 2-Dimensional Regular Local Ring ⋮ On the Hilbert function of Artinian local complete intersections of codimension three ⋮ Cohen-Macaulayness of almost complete intersection tangent cones ⋮ Hilbert function of local Artinian level rings in codimension two ⋮ The tangent cone of a local ring of codimension 2

Cites Work

• The Gorenstein and complete intersection properties of associated graded rings
• Reduction numbers for ideals of higher analytic spread
• The Local Hilbert Function of a Pair of Plane Curves
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