Reduction number of links of irreducible varieties

DOI10.1016/S0022-4049(96)00042-4zbMath0891.13008arXivmath/0210071MaRDI QIDQ1369597

Alberto Corso, Claudia Polini

Publication date: 8 July 1998

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210071

zbMATH Keywords

Noetherian local ringminimal reduction of ideal

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Linkage, complete intersections and determinantal ideals (13C40) Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (10)

Quasi-socle ideals and Goto numbers of parameters ⋮ Quasi-socle ideals in local rings with Gorenstein tangent cones ⋮ Links of symbolic powers of prime ideals ⋮ Iterated socles and integral dependence in regular rings ⋮ Stability of quasi-socle ideals ⋮ Quasi-socle ideals in Gorenstein numerical semigroup rings ⋮ Quasi-socle ideals in a Gorenstein local ring ⋮ Burch's inequality and the depth of the blow up rings of an ideal. ⋮ Core and residual intersections of ideals ⋮ Quasi-socle ideals in Buchsbaum rings

Uses Software

• Macaulay2

Cites Work

• Cohen-Macaulay local rings of embedding dimension e+d-2
• Algebra structures on some canonical resolutions
• Liaison des variétés algébriques. I
• Links of prime ideals and their Rees algebras
• Derivations of commutative noetherian rings
• Ideals defined by matrices and a certain complex associated with them
• Sums of Linked Ideals
• The Syzygies of the Conormal Module
• Form rings and regular sequences
• Links of prime ideals
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