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math.AC2019
On the -torsion of the module of differentials of order of hypersurfaces
Hernán de Alba, Daniel Duarte
We characterize the -torsion freeness of the module of differentials of order of a point of a hypersurface in terms of the singular locus of the corresponding local ring.
math.AC2018
On the module of differentials of order of hypersurfaces
Paul Barajas, Daniel Duarte
We give an explicit presentation of the module of differentials of order of a finitely generated algebra via a higher-order Jacobian matrix. We use the presentation to study so…