On the Depth of Blowup Algebras of Ideals with Analytic Deviation One

DOI10.2307/2161888zbMath0854.13004OpenAlexW4243574675MaRDI QIDQ4874256

Santiago Zarzuela Armengou

Publication date: 29 May 1996

Full work available at URL: https://doi.org/10.2307/2161888

zbMATH Keywords

complete intersectionanalytic deviationanalytic spreaddepthRees algebralocal Cohen-Macaulay ringminimal number of generators

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (5)

The depth of the associated graded ring of ideals with any reduction number ⋮ Symbolic powers, Serre conditions and Cohen-Macaulay Rees algebras ⋮ Asymptotic prime ideals of \(S_{2}\)-filtrations ⋮ On the depth of the fiber cone of filtrations ⋮ Burch's inequality and the depth of the blow up rings of an ideal.

Cites Work

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• Analytic spread modulo an element and symbolic Rees algebras
• Approximation complexes of blowing-up rings. II
• Normal Rees algebras
• Approximation complexes of blowing-up rings
• Cohen-Macaulay Rees algebras and degrees of polynomial relations
• Gorenstein graded rings associated to ideals of analytic deviation 2
• The \(S_ 2\)-closure of a Rees algebra
• Rees Algebras of Ideals Having Small Analytic Deviation
• On the Gorensteinness of Rees and form rings of almost complete intersections
• A PROPERTY OF ALMOST COMPLETE INTERSECTIONS
• Rees rings and form rings of almost complete intersections
• Powers of Ideals Having Small Analytic Deviation
• On rees and form rings of almost complete intersections
• Depth formulas for certain graded rings associated to an ideal
• Powers of Ideals Generated by Quadratic Sequences
• On Graded Rings Associated to Analytic Deviation One Ideals
• Reduction number and a-Invariant of good filtrations

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