The complete intersection locus of certain ideals

DOI10.1016/0022-4049(85)90023-4zbMath0574.13013OpenAlexW2024809923MaRDI QIDQ1063649

Vasconcelos, Wolmer V.

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-4049(85)90023-4

zbMATH Keywords

projective dimensionheightcomplete intersectionidealanalytic spreadcanonical moduleGorenstein idealsminimum number of generatorslocal Noetherian ringCohen-Macaulay idealsconormal module

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Complete intersections (14M10) Ideals and multiplicative ideal theory in commutative rings (13A15) General commutative ring theory (13A99)

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Jacobian criteria for complete intersections. The graded case ⋮ Stability of associated primes and equality of ordinary and symbolic powers of ideals ⋮ Degrees of spaces of holomorphic foliations of codimension one in \(\mathbb{P}^n\) ⋮ Homological aspects of derivation modules and critical case of the Herzog-Vasconcelos conjecture ⋮ Applications of Differential Graded Algebra Techniques in Commutative Algebra ⋮ On the Cohen-Macaulayness of the conormal module of an ideal ⋮ Cohomological characterizations of smoothness and the case of rational surface singularities ⋮ Some characterizations of smooth, regular, and complete intersection algebras ⋮ Free resolutions of certain codimension three perfect radical ideals ⋮ Maximally differential ideals of finite projective dimension ⋮ On the free character of the first Koszul homology module ⋮ Modules of differentials of symmetric algebras ⋮ A generalization of Maloo's theorem on freeness of derivation modules ⋮ Vasconcelos' conjecture on the conormal module

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