A new algorithm for computing logarithmic vector fields along an isolated singularity and Bruce-Roberts Milnor ideals
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Publication:2029011
DOI10.1016/j.jsc.2021.03.003zbMath1489.14085OpenAlexW3158840160MaRDI QIDQ2029011
Katsusuke Nabeshima, Shinichi Tajima
Publication date: 3 June 2021
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jsc.2021.03.003
Symbolic computation and algebraic computation (68W30) Computational aspects of algebraic surfaces (14Q10) Singularities of holomorphic vector fields and foliations (32S65) Local complex singularities (32S05)
Uses Software
Cites Work
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- 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
- On the computation of parametric Gröbner bases for modules and syzygies
- Annihilating ideals for an algebraic local cohomology class
- Critical points of functions on analytic varieties
- An efficient algorithm for computing a comprehensive Gröbner system of a parametric polynomial system
- Computing regular meromorphic differential forms via Saito's logarithmic residues
- Testing zero-dimensionality of varieties at a point
- The Milnor-Palamodov theorem for functions on isolated hypersurface singularities
- Solving parametric ideal membership problems and computing integral numbers in a ring of convergent power series via comprehensive Gröbner systems
- Monodromy of isolated singularities of hypersurfaces
- Computation methods of logarithmic vector fields associated to semi-weighted homogeneous isolated hypersurface singularities
- Solving Extended Ideal Membership Problems in Rings of Convergent Power Series via Gröbner Bases
- Computing Logarithmic Vector Fields Associated with Parametric Semi-Quasihomogeneous Hypersurface Isolated Singularities
- Invariants of topological relative right equivalences
- Stability Conditions of Monomial Bases and Comprehensive Gröbner Systems
- On efficient algorithms for computing parametric local cohomology classes associated with semi-quasihomogeneous singularities and standard bases
- NON-NEGATIVE DEFORMATIONS OF WEIGHTED HOMOGENEOUS SINGULARITIES
- THE BRUCE-ROBERTS NUMBER OF A FUNCTION ON A WEIGHTED HOMOGENEOUS HYPERSURFACE
- The Bruce–Roberts Number of A Function on A Hypersurface with Isolated Singularity
- Algorithms for the Gauss-Manin connection