On the Cohen-Macaulay and Gorenstein properties of multigraded Rees algebras

DOI10.1007/BF02568351zbMath0796.13003OpenAlexW2002948718MaRDI QIDQ1313516

Eero Hyry, Jürgen Ribbe, Manfred Herrmann

Publication date: 7 February 1994

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

Full work available at URL: https://eudml.org/doc/155847

zbMATH Keywords

Gorensteinness of multigraded Rees algebralocal Cohen Macaulay ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Graded rings (13A02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14)

Related Items

On multi-Rees algebras. With an appendix by Ngô Viêt Trung, Multigraded rings, diagonal subalgebras, and rational singularities, Cohen-Macaulay multigraded modules, Reduction numbers and multiplicities of multigraded structures, On the Cohen-Macaulay property of diagonal subalgebras of the Rees algebra, On Rees algebras with a Gorenstein Veronese subring, Local cohomology of bigraded Rees algebras and normal Hilbert coefficients, Filter-regularity and cohen-macaulay multigraded rees algebras, On arithmetic Macaulayfication of Noetherian rings, A note on the cohen-macaulayness of multi-rees rings, A Formula for the Multiplicity of the Multi-graded Extended Rees Algebra, Asymptotic vanishing of homogeneous components of multigraded modules and its applications, Cohomological properties of non-standard multigraded modules, Hilbert polynomials of multigraded filtrations of ideals, Local cohomology of multi-Rees algebras with applications to joint reductions and complete ideals, On arithmetic macaulayfication of certain local rings, On the defining equations of multi-graded rings, The diagonal subring and the Cohen-Macaulay property of a multigraded ring

Cites Work

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