On the module of differentials of order \(n\) of hypersurfaces

DOI10.1016/j.jpaa.2019.05.020zbMath1477.13049arXiv1808.02099OpenAlexW2963004840WikidataQ127900745 ScholiaQ127900745MaRDI QIDQ2318404

Paul Barajas, Daniel C. S. Duarte

Publication date: 15 August 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.02099

zbMATH Keywords

hypersurfaceshigher-order differentialshigher-order Jacobian matrix

Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Commutative rings of differential operators and their modules (13N10) Modules of differentials (13N05)

Related Items (8)

Nash blowups in prime characteristic ⋮ A higher-order tangent map and a conjecture on the higher Nash blowup of curves ⋮ Higher Nash blow-up local algebras of singularities and its derivation Lie algebras ⋮ A Nobile-like theorem for jet schemes of hypersurfaces ⋮ Factorization of the normalization of the Nash blowup of order \(n\) of \(\mathcal{A}_n\) by the minimal resolution ⋮ On the \(k\)-torsion of the module of differentials of order \(n\) of hypersurfaces ⋮ (Co)torsion of exterior powers of differentials over complete intersections ⋮ Quantifying singularities with differential operators

Uses Software

• SINGULAR

Cites Work

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• Computational aspects of the higher Nash blowup of hypersurfaces
• On torsion of the module of differentials of a locality which is a complete intersection
• Modules of differentials. I
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• High order derivations. I
• Differentialmoduln eindimensionaler lokaler Ringe
• A Course in Commutative Algebra
• Homological dimension of the universal modules for hypersurfaces
• Free Derivation Modules on Algebraic Varieties

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