Katsusuke Nabeshima

According to our database, Katsusuke Nabeshima authored at least 40 papers between 2005 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

A Deterministic Method for Computing Bertini Type Invariants of Parametric Ideals.

Shinichi Tajima, Katsusuke Nabeshima

Math. Comput. Sci., October, 2024

Generic Gröbner basis of a parametric ideal and its application to a comprehensive Gröbner system.

Katsusuke Nabeshima

Appl. Algebra Eng. Commun. Comput., January, 2024

Merging Multiple Algorithms for Computing Comprehensive Gröbner Systems Using Parallel Processing.

Natsu Wada, Katsusuke Nabeshima

Proceedings of the Computer Algebra in Scientific Computing - 26th International Workshop, 2024

On the Radical of a Polynomial Ideal with Parameters.

Ryosuke Kuramochi, Kazuki Tanaka, Katsusuke Nabeshima

Proceedings of the Computer Algebra in Scientific Computing - 26th International Workshop, 2024

2023

Computing Holonomic D-Modules Associated to a Family of Non-isolated Hypersurface Singularities via Comprehensive Gröbner Systems of PBW Algebra.

Shinichi Tajima, Katsusuke Nabeshima, Katsuyoshi Ohara, Yoko Umeta

Math. Comput. Sci., March, 2023

Effective Algorithm for Computing Noetherian Operators of Positive Dimensional Ideals.

Katsusuke Nabeshima, Shinichi Tajima

Proceedings of the Computer Algebra in Scientific Computing - 25th International Workshop, 2023

2022

Correction: Effective algorithm for computing Noetherian operators of zero‑dimensional ideals.

Katsusuke Nabeshima, Shinichi Tajima

Appl. Algebra Eng. Commun. Comput., 2022

Effective algorithm for computing Noetherian operators of zero-dimensional ideals.

Katsusuke Nabeshima, Shinichi Tajima

Appl. Algebra Eng. Commun. Comput., 2022

2021

An Algorithm for Computing Torsion Differential Forms Associated with an Isolated Hypersurface Singularity.

Shinichi Tajima, Katsusuke Nabeshima

Math. Comput. Sci., 2021

Testing Zero-Dimensionality of Varieties at a Point.

Katsusuke Nabeshima, Shinichi Tajima

Math. Comput. Sci., 2021

A new algorithm for computing logarithmic vector fields along an isolated singularity and Bruce-Roberts Milnor ideals.

Katsusuke Nabeshima, Shinichi Tajima

J. Symb. Comput., 2021

Methods for computing b-functions associated with μ-constant deformations - Case of inner modality 2 -.

Katsusuke Nabeshima, Shinichi Tajima

CoRR, 2021

Computing Grothendieck Point Residues via Solving Holonomic Systems of First Order Partial Differential Equations.

Shinichi Tajima, Katsusuke Nabeshima

Proceedings of the ISSAC '21: International Symposium on Symbolic and Algebraic Computation, 2021

A New Deterministic Method for Computing Milnor Number of an ICIS.

Shinichi Tajima, Katsusuke Nabeshima

Proceedings of the Computer Algebra in Scientific Computing - 23rd International Workshop, 2021

2020

An effective method for computing Grothendieck point residue mappings.

Shinichi Tajima, Katsusuke Nabeshima

CoRR, 2020

Computing regular meromorphic differential forms via Saito's logarithmic residues.

Shinichi Tajima, Katsusuke Nabeshima

CoRR, 2020

Parametric standard system for mixed module and its application to singularity theory.

Hiroshi Teramoto, Katsusuke Nabeshima

Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

Computing Logarithmic Vector Fields Along an ICIS Germ via Matlis Duality.

Shinichi Tajima, Takafumi Shibuta, Katsusuke Nabeshima

Proceedings of the Computer Algebra in Scientific Computing - 22nd International Workshop, 2020

Computing Parametric Standard Bases for Semi-weighted Homogeneous Isolated Hypersurface Singularities.

Katsusuke Nabeshima

Proceedings of the Computer Algebra in Scientific Computing - 22nd International Workshop, 2020

2019

An Implementation of the Lê-Teissier Method for Computing Local Euler Obstructions.

Shinichi Tajima, Katsusuke Nabeshima

Math. Comput. Sci., 2019

Solving Parametric Ideal Membership Problems and Computing Integral Numbers in a Ring of Convergent Power Series Via Comprehensive Gröbner Systems.

Katsusuke Nabeshima, Shinichi Tajima

Math. Comput. Sci., 2019

On Parametric Border Bases.

Yosuke Sato, Hiroshi Sekigawa, Ryoya Fukasaku, Katsusuke Nabeshima

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2019

Generalized Integral Dependence Relations.

Katsusuke Nabeshima, Shinichi Tajima

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2019

2018

Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic <i>D</i>-modules.

Katsusuke Nabeshima, Katsuyoshi Ohara, Shinichi Tajima

J. Symb. Comput., 2018

2017

Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals.

Katsusuke Nabeshima, Shinichi Tajima

J. Symb. Comput., 2017

2016

Computing Tjurina stratifications of μ-constant deformations via parametric local cohomology systems.

Katsusuke Nabeshima, Shinichi Tajima

Appl. Algebra Eng. Commun. Comput., 2016

Comprehensive Gröbner Systems in Rings of Differential Operators, Holonomic D-modules and B-functions.

Katsusuke Nabeshima, Katsuyoshi Ohara, Shinichi Tajima

Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, 2016

2015

Solving Extended Ideal Membership Problems in Rings of Convergent Power Series via Gröbner Bases.

Katsusuke Nabeshima, Shinichi Tajima

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2015

Computing Logarithmic Vector Fields Associated with Parametric Semi-Quasihomogeneous Hypersurface Isolated Singularities.

Katsusuke Nabeshima, Shinichi Tajima

Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation, 2015

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

Katsusuke Nabeshima, Shinichi Tajima

Proceedings of the Computer Algebra in Scientific Computing - 17th International Workshop, 2015

2014

On efficient algorithms for computing parametric local cohomology classes associated with semi-quasihomogeneous singularities and standard bases.

Katsusuke Nabeshima, Shinichi Tajima

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

An Algorithm for Computing Tjurina Stratifications of μ-Constant Deformations by Using Local Cohomology Classes with Parameters.

Katsusuke Nabeshima, Shinichi Tajima

Proceedings of the Mathematical Software - ICMS 2014, 2014

An Algorithm for Computing Standard Bases by Change of Ordering via Algebraic Local Cohomology.

Katsusuke Nabeshima, Shinichi Tajima

Proceedings of the Mathematical Software - ICMS 2014, 2014

2012

Stability Conditions of Monomial Bases and Comprehensive Gröbner Systems.

Katsusuke Nabeshima

Proceedings of the Computer Algebra in Scientific Computing - 14th International Workshop, 2012

2011

Boolean Gröbner bases.

Yosuke Sato, Shutaro Inoue, Akira Suzuki, Katsusuke Nabeshima, Kô Sakai

J. Symb. Comput., 2011

2009

Reduced Gröbner Bases in Polynomial Rings over a Polynomial Ring.

Katsusuke Nabeshima

Math. Comput. Sci., 2009

2007

PGB: a package for computing parametric Gröbner and related objects.

Katsusuke Nabeshima

ACM Commun. Comput. Algebra, 2007

A speed-up of the algorithm for computing comprehensive Gröbner systems.

Katsusuke Nabeshima

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2007

2005

A Direct Products of Fields Approach to Comprehensive Gröbner Bases over Finite Fields.

Katsusuke Nabeshima

Proceedings of the Seventh International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2005), 2005

A Computation Method for ACGB-V.

Katsusuke Nabeshima

Proceedings of the Algorithmic Algebra and Logic. Proceedings of the A3L 2005, 2005