On the Cohen-Macaulay property of diagonal subalgebras of the Rees algebra

DOI10.1007/BF02678014zbMath0897.13013MaRDI QIDQ1382634

Olga Lavila-Vidal

Publication date: 13 May 1998

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156359

zbMATH Keywords

blow-upCohen-MacaulaynessRees algebrashomogeneous coordinate ringsmultigraded \(a\)-invariants

Mathematics Subject Classification ID

Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14)

Related Items (3)

Multigraded rings, diagonal subalgebras, and rational singularities ⋮ Asymptotic behaviour of arithmetically Cohen-Macaulay blow-ups ⋮ Associated Primes of (Non-Standard) Multigraded Modules

Cites Work

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• On graded rings. II: \(\mathbb{Z}\)-graded rings
• On the Cohen-Macaulay and Gorenstein properties of multigraded Rees algebras
• The diagonal subalgebra of a blow-up algebra
• Cohen-Macaulay coordinate rings of blowup schemes
• The diagonal subring and the Cohen-Macaulay property of a multigraded ring
• On the Ideal of Veronesean Surfaces
• Diagonal subalgebras of bigraded algebras and embeddings of blow-ups of projective spaces

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