Efficient Computation of Algebraic Local Cohomology Classes and Change of Ordering for Zero-Dimensional Standard Bases

DOI10.1007/978-3-319-24021-3_25zbMath1439.13077OpenAlexW2270285926MaRDI QIDQ3454555

Katsusuke Nabeshima, Shinichi Tajima

Publication date: 25 November 2015

Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-24021-3_25

zbMATH Keywords

singularitiesstandard basesalgebraic local cohomology

Mathematics Subject Classification ID

Analysis of algorithms (68W40) Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Local cohomology and commutative rings (13D45) Formal power series rings (13F25)

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Computing Tjurina stratifications of \(\mu \)-constant deformations via parametric local cohomology systems ⋮ An algorithm for computing torsion differential forms associated with an isolated hypersurface singularity ⋮ An effective method for computing Grothendieck point residue mappings

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