Torsion of differentials of hypersurfaces with isolated singularities

DOI10.1016/0022-4049(94)00117-2zbMath0874.13020OpenAlexW1979495781MaRDI QIDQ1903700

Ruth I. Michler

Publication date: 4 November 1997

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(94)00117-2

zbMATH Keywords

affine hypersurfaceisolated singularitydifferentialsJacobian idealtorsion submodule

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Singularities of curves, local rings (14H20) Hypersurfaces and algebraic geometry (14J70) Modules of differentials (13N05)

Related Items (12)

On the number of generators of the torsion module of differentials ⋮ Affine hypersurfaces with Gorenstein singular loci ⋮ On the values of logarithmic residues along curves ⋮ Cyclic homology of affine hypersurfaces with isolated singularities ⋮ Bicriteria multi-machine scheduling with equal processing times subject to release dates ⋮ Hypersurfaces with linear type singular loci ⋮ A negative answer to a question of Bass ⋮ The Aluffi algebra of hypersurfaces with isolated singularities ⋮ On torsion Kähler differential forms ⋮ DIFFERENTIALS OF THE FAMILYY²−X³−tX² ⋮ Computing regular meromorphic differential forms via Saito's logarithmic residues ⋮ An algorithm for computing torsion differential forms associated with an isolated hypersurface singularity

Cites Work

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• Hodge decompositions of Loday symbols in \(K\)-theory and cyclic homology
• Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten
• Torsion äußerer Potenzen von Moduln der homologischen Dimension 1
• Äußere Potenzen von Differentialmoduln reduzierter vollständiger Durchschnitte
• Differentialmoduln eindimensionaler lokaler Ringe
• The hochschild (co-) homology of hypersurfaces

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