On reduction exponents of ideals with Gorenstein formring

DOI10.1017/S0013091500019258zbMath0842.13001OpenAlexW2050441460MaRDI QIDQ4863100

Jürgen Ribbe, Craig Huneke, Manfred Herrmann

Publication date: 29 July 1996

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

Full work available at URL: https://doi.org/10.1017/s0013091500019258

zbMATH Keywords

analytic deviationanalytic spreadCohen-MacaulayGorenstein\(a\)-invariantform ringreduction exponent

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

On the depth of the fiber cone of filtrations ⋮ Good ideals in Gorenstein local rings ⋮ On a-invariant formulas ⋮ Unnamed Item ⋮ The Cohen–Macaulay and Gorenstein Properties of Rings Associated to Filtrations ⋮ Unnamed Item ⋮ Gorenstein associated graded rings of analytic deviation two ideals. ⋮ The $a$-invariant and Gorensteinness of graded rings associated to filtrations of ideals in regular local rings

Cites Work

• Unnamed Item
• An improved Briançon-Skoda theorem with applications to the Cohen- Macaulayness of Rees algebras
• A remark on tube domains
• The \(S_ 2\)-closure of a Rees algebra
• Rees Algebras of Ideals Having Small Analytic Deviation
• Powers of Ideals Having Small Analytic Deviation
• On Graded Rings Associated to Analytic Deviation One Ideals
• Linkage and the Koszul Homology of Ideals