Rees rings and form rings of almost complete intersections

DOI10.1017/S0027763000020079zbMath0476.13018OpenAlexW1529348129MaRDI QIDQ3933093

Markus P. Brodmann

Publication date: 1982

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000020079

zbMATH Keywords

Cohen-Macaulay ringassociated graded ringdepthGorensteinRees ringalmost complete intersectiongenerically complete intersection

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Complete intersections (14M10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items

Asymptotic prime ideals of \(S_{2}\)-filtrations, Birational extensions in dimension two and integrally closed ideals, On the dimension and integrality of symmetric algebras, Primbasen und d-Folgen für Ideale mit kleiner Erzeugendenzahl, Rees Algebras of Ideals Having Small Analytic Deviation, Burch's inequality and the depth of the blow up rings of an ideal., Asymptotic Depth and Connectedness in Projective Schemes, On the Depth of Blowup Algebras of Ideals with Analytic Deviation One, Gorenstein rings as specializations of unique factorization domains

Cites Work

• On the symmetric and Rees algebra of an ideal generated by a d-sequence
• Liaison des variétés algébriques. I
• Certain graded algebras are always Cohen-Macaulay
• A remark on almost complete intersections
• Ein Cohen-Macaulay Kriterium mit Anwendungen auf den Konormalenmodul und den Differentialmodul
• Finiteness of ideal transforms
• Five theorems on Macaulay rings
• Remarks on regular sequences
• The asymptotic nature of the analytic spread
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
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