Jacobian criteria for complete intersections. The graded case

DOI10.1007/BF01232235zbMath0813.13024OpenAlexW2066690362MaRDI QIDQ1328155

Jürgen Herzog, Luchezar L. Avramov

Publication date: 7 June 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144209

zbMATH Keywords

Poincaré seriescomplete intersectiongraded ringEuler homomorphismminimal cotangent complexmodules of differentials

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Complete intersections (14M10) Graded rings (13A02) Modules of differentials (13N05)

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Cites Work

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• Homology of Noetherian rings and local rings
• The complete intersection locus of certain ideals
• Poincaré series of modules over local rings of small embedding codepth or small linking number
• Vanishing of cotangent functors
• Modules of finite virtual projective dimension
• The Poincaré series of every finitely generated module over a codimension four almost complete intersection is a rational function
• Ideals generated by \(R\)-sequences
• On the homology of I/I²
• Free Derivation Modules on Algebraic Varieties
• On the Jacobian Ideal of the Module of Differentials