The resolution of the generic residual intersection of a complete intersection

DOI10.1016/0021-8693(90)90050-XzbMath0696.13017MaRDI QIDQ910443

Winfried Bruns, Andrew R. Kustin, Matthew P. Miller

Publication date: 1990

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

zbMATH Keywords

complete intersectionKoszul complexresidual intersectionlinkagedeterminantal conditionsresolution of ideal

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Determinantal varieties (14M12) Complete intersections (14M10)

Related Items

Rees algebras and almost linearly presented ideals ⋮ On the Jacobian ideal of a trilinear form ⋮ Unnamed Item ⋮ A Survey on Koszul Algebras and Koszul Duality ⋮ Jacobian ideals of trilinear forms: An application of 1-genericity ⋮ Generating a residual intersection ⋮ If the socle fits ⋮ Ideals of the form \(I_{1}(XY)\) ⋮ Rees algebras of ideals with low codimension ⋮ Resultant over the residual of a complete intersection. ⋮ Diagonal subalgebras of residual intersections ⋮ Residual intersections are Koszul–Fitting ideals ⋮ Cohen-Macaulay residual intersections and their Castelnuovo-Mumford regularity

Cites Work

• Unnamed Item
• Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
• An introduction to homological algebra
• Linkage theory for algebras with pure resolutions
• Poincaré series of modules over local rings of small embedding codepth or small linking number
• On the variety of complexes
• Divisors on varieties of complexes
• Liaison des variétés algébriques. I
• Generic free resolutions and a family of generically perfect ideals
• Strongly Cohen-Macaulay Schemes and Residual Intersections
• Residual intersections in Cohen-Macaulay rings