2 citations · 5 across the 5 of their papers we have counts for
5 papers
Methods for computing -functions associated with -constant deformations -- Case of inner modality 2 --
Katsusuke Nabeshima, Shinichi Tajima
New methods for computing parametric local -functions are introduced for -constant deformations of semi-weighted homogeneous singularities. The keys of the methods are compre…
An effective method for computing Grothendieck point residue mappings
Shinichi Tajima, Katsusuke Nabeshima
Grothendieck point residue is considered in the context of computational complex analysis. A new effective method is proposed for computing Grothendieck point residues mappings and…
Computing Regular Meromorphic Differential Forms via Saito's Logarithmic Residues
Shinichi Tajima, Katsusuke Nabeshima
Logarithmic differential forms and logarithmic vector fields associated to a hypersurface with an isolated singularity are considered in the context of computational complex analys…
Testing zero-dimensionality of varieties at a point
Katsusuke Nabeshima, Shinichi Tajima
Effective methods are introduced for testing zero-dimensionality of varieties at a point. The motivation of this paper is to compute and analyze deformations of isolated hypersurfa…
Algebraic Local Cohomology with Parameters and Parametric Standard Bases for Zero-Dimensional Ideals
Katsusuke Nabeshima, Shinichi Tajima
A computation method of algebraic local cohomology with parameters, associated with zero-dimensional ideal with parameter, is introduced. This computation method gives us in partic…