Cohen-Macaulayness of Special Fiber Rings

DOI10.1081/AGB-120022439zbMath1057.13007arXivmath/0302241OpenAlexW2024897212MaRDI QIDQ4418326

Bernd Ulrich, Claudia Polini, Alberto Corso, Laura Ghezzi

Publication date: 7 August 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0302241

zbMATH Keywords

analytic spreadassociated graded ringCohen-Macaulaynessreduction numberintegrally closed idealspecial fiber ringhomogeneous generating relations

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14)

Related Items (17)

On complete monomial ideals ⋮ Quasi-socle ideals and Goto numbers of parameters ⋮ Quasi-socle ideals in local rings with Gorenstein tangent cones ⋮ Integral closedness of \(MI\) and the formula of Hoskin and Deligne for finitely supported complete ideals ⋮ On Rees algebras of ideals and modules over hypersurface rings ⋮ On the Cohen-Macaulayness of fiber cones ⋮ Residual intersections and modules with Cohen-Macaulay Rees algebra ⋮ On the structure of the fiber cone of ideals with analytic spread one ⋮ Generalized Hilbert Functions ⋮ Artin-Nagata properties, minimal multiplicities, and depth of fiber cones ⋮ Integrally closed and componentwise linear ideals ⋮ FIBER CONES WITH ALMOST MAXIMAL DEPTH ⋮ On Special Fiber Rings of Modules ⋮ A family of reflexive vector bundles of reduction number one ⋮ On the multiplicity and the Cohen-Macaulayness of fiber cones of graded algebras ⋮ Cohen-Macaulay fiber cones and defining ideal of Rees algebras of modules ⋮ Hilbert coefficients and depth of fiber cones

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