Annihilating ideals for an algebraic local cohomology class
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Publication:1012134
DOI10.1016/j.jsc.2007.07.017zbMath1171.32020OpenAlexW1975105594MaRDI QIDQ1012134
Shinichi Tajima, Yayoi Nakamura
Publication date: 14 April 2009
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jsc.2007.07.017
algebraic local cohomologyholonomic \(\mathcal D\)-moduleshypersurface isolated singularitiesGrothendieck local duality
Related Items (10)
Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules ⋮ On holonomic \(D\)-modules attached to Reiffen's hypersurface isolated singularities ⋮ Algebraic local cohomology classes attached to unimodal singularities ⋮ Computing Tjurina stratifications of \(\mu \)-constant deformations via parametric local cohomology systems ⋮ Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals ⋮ A new algorithm for computing logarithmic vector fields along an isolated singularity and Bruce-Roberts Milnor ideals ⋮ An algorithm for computing torsion differential forms associated with an isolated hypersurface singularity ⋮ An effective method for computing Grothendieck point residue mappings ⋮ Effective algorithm for computing Noetherian operators of zero-dimensional ideals ⋮ Generalized Integral Dependence Relations
Uses Software
Cites Work
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- Algebraic local cohomology classes attached to unimodal singularities
- Algorithmic computation of local cohomology modules and the local cohomological dimension of algebraic varieties
- Isolated points, duality and residues
- Algebraic local cohomology classes attached to quasi-homogeneous hypersurface isolated singularities
- Algorithms for \(D\)-modules -- restriction, tensor product, localization, and local cohomology groups
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