The Koszul algebra of a codimension 2 embedding

DOI10.1007/BF01163026zbMath0461.14014OpenAlexW141891344MaRDI QIDQ1152428

Jürgen Herzog, Luchezar L. Avramov

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173036

zbMATH Keywords

determinantal idealsmaximal Cohen-Macaulay modulescodimension 2symbolic powersPoincare serieshigher conormal moduleshomology of Koszul complex

Mathematics Subject Classification ID

Related Items (48)

Gorenstein ideals of deviation two ⋮ Stability of associated primes and equality of ordinary and symbolic powers of ideals ⋮ Linkage theory for algebras with pure resolutions ⋮ Hilbert series of residual intersections ⋮ On the Arithmetic and Homology of Algebras of Linear Type ⋮ Cohen-Macaulay Rees algebras and degrees of polynomial relations ⋮ Duality for Koszul homology over Gorenstein rings ⋮ On the normal sheaf of determinantal varieties ⋮ Second analytic deviation one ideals and their Rees algebras ⋮ Vanishing of cotangent functors ⋮ The core of an ideal in Cohen-Macaulay rings ⋮ On the structure of Gorenstein ideals of deviation two ⋮ Homology of Littlewood complexes ⋮ Reduction number boundson analytic deviation 2 ideals andcohen-macaulayness of associated graded rings ⋮ Elimination and nonlinear equations of Rees algebras ⋮ Symbolic powers of perfect ideals of codimension 2 and birational maps ⋮ Indices of normalization of ideals ⋮ On the dimension and integrality of symmetric algebras ⋮ Strongly Cohen-Macaulay Schemes and Residual Intersections ⋮ Approximation complexes of blowing-up rings ⋮ Computing the core of ideals in arbitrary characteristic ⋮ Koszul homology of codimension 3 Gorenstein ideals ⋮ On Gorenstein ideals of codimension four ⋮ If the socle fits ⋮ Rees Algebras of Ideals Having Small Analytic Deviation ⋮ Residual intersections in Cohen-Macaulay rings ⋮ Dimension of families of determinantal schemes ⋮ On catalecticant perfect ideals of codimension 2 ⋮ Maximal Cohen-Macaulay modules and Gorenstein algebras ⋮ The cl-core of an ideal ⋮ Homology of homogeneous divisors ⋮ Sums of Linked Ideals ⋮ Core and residual intersections of ideals ⋮ Cohen-Macaulayness of Special Fiber Rings ⋮ Koszul Homology and the Structure of Low Codimension Cohen-Macaulay Ideals ⋮ Maximal families of Gorenstein algebras ⋮ The multiple-point schemes of a finite curvilinear map of codimension one ⋮ Unnamed Item ⋮ Residual intersections are Koszul–Fitting ideals ⋮ Tangent algebras ⋮ Unnamed Item ⋮ Duality and socle generators for residual intersections ⋮ Approximation complexes of blowing-up rings. II ⋮ Complete intersections and symmetric algebras ⋮ Numerical invariants of liaison classes ⋮ The complete intersection locus of certain ideals ⋮ The Koszul homology of an ideal ⋮ The equations of Rees algebras of ideals with linear presentation

Cites Work

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• Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
• Young diagrams and determinantal varieties
• Resolutions of determinantal ideals: The submaximal minors
• What annihilates a module?
• An algebraic property of IP¹× IP^N
• The Syzygies of the Conormal Module
• The Conormal Module of an Almost Complete Intersection
• A Generalized Koszul Complex. II. Depth and Multiplicity

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