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- W4289708666 abstract "We give an explicit presentation of the module of differentials of order $n$ of a finitely generated algebra via a higher-order Jacobian matrix. We use the presentation to study some aspects of this module in the case of hypersurfaces. More precisely, we prove higher-order versions of known results relating freness and torsion-freness of the module of differentials with the regularity and normality of the hypersurface. We also study its projective dimension." @default.
- W4289708666 created "2022-08-04" @default.
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- W4289708666 date "2018-08-06" @default.
- W4289708666 modified "2023-09-27" @default.
- W4289708666 title "On the module of differentials of order $n$ of hypersurfaces" @default.
- W4289708666 doi "https://doi.org/10.48550/arxiv.1808.02099" @default.
- W4289708666 hasPublicationYear "2018" @default.
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