Properties of the Fiber Cone of Ideals in Local Rings

DOI10.1081/AGB-120022240zbMath1090.13014MaRDI QIDQ4414343

Mee-Kyoung Kim, William J. Heinzer

Publication date: 24 July 2003

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

zbMATH Keywords

analytic spreadCohen-Macaulayfiber conenumber of generating elements

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Commutative Noetherian rings and modules (13E05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (9)

On quasi-equigenerated and Freiman cover ideals of graphs ⋮ On the structure of the fiber cone of ideals with analytic spread one ⋮ The equations of Rees algebras of equimultiple ideals of deviation one ⋮ FIBER CONES WITH ALMOST MAXIMAL DEPTH ⋮ Cohen-Macaulayness of Special Fiber Rings ⋮ On Special Fiber Rings of Modules ⋮ On the relation type of fiber cone ⋮ On the fiber cone of monomial ideals ⋮ Coefficient ideals of the fiber cone

Cites Work

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• Analytic spread modulo an element and symbolic Rees algebras
• Prestable ideals
• On the depth of the fiber cone of filtrations
• Rings associated with ideals and analytic spread

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