Katsusuke Nabeshima

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 28

Top Topics

Differential Operators

Top Venues

Math. Comput. Sci.

Publications

Shinichi Tajima, Katsusuke Nabeshima
A Deterministic Method for Computing Bertini Type Invariants of Parametric Ideals. Math. Comput. Sci. 18 (3) (2024)
Natsu Wada, Katsusuke Nabeshima
Merging Multiple Algorithms for Computing Comprehensive Gröbner Systems Using Parallel Processing. CASC (2024)
Katsusuke Nabeshima
Generic Gröbner basis of a parametric ideal and its application to a comprehensive Gröbner system. Appl. Algebra Eng. Commun. Comput. 35 (1) (2024)
Ryosuke Kuramochi, Kazuki Tanaka, Katsusuke Nabeshima
On the Radical of a Polynomial Ideal with Parameters. CASC (2024)
Katsusuke Nabeshima, Shinichi Tajima
Effective Algorithm for Computing Noetherian Operators of Positive Dimensional Ideals. CASC (2023)
Shinichi Tajima, Katsusuke Nabeshima, Katsuyoshi Ohara, Yoko Umeta
Computing Holonomic D-Modules Associated to a Family of Non-isolated Hypersurface Singularities via Comprehensive Gröbner Systems of PBW Algebra. Math. Comput. Sci. 17 (1) (2023)
Katsusuke Nabeshima, Shinichi Tajima
Effective algorithm for computing Noetherian operators of zero-dimensional ideals. Appl. Algebra Eng. Commun. Comput. 33 (6) (2022)
Katsusuke Nabeshima, Shinichi Tajima
Correction: Effective algorithm for computing Noetherian operators of zero‑dimensional ideals. Appl. Algebra Eng. Commun. Comput. 33 (6) (2022)
Shinichi Tajima, Katsusuke Nabeshima
Computing Grothendieck Point Residues via Solving Holonomic Systems of First Order Partial Differential Equations. ISSAC (2021)
Katsusuke Nabeshima, Shinichi Tajima
A new algorithm for computing logarithmic vector fields along an isolated singularity and Bruce-Roberts Milnor ideals. J. Symb. Comput. 107 (2021)
Katsusuke Nabeshima, Shinichi Tajima
Testing Zero-Dimensionality of Varieties at a Point. Math. Comput. Sci. 15 (2) (2021)
Shinichi Tajima, Katsusuke Nabeshima
A New Deterministic Method for Computing Milnor Number of an ICIS. CASC (2021)
Katsusuke Nabeshima, Shinichi Tajima
Methods for computing b-functions associated with μ-constant deformations - Case of inner modality 2 -. CoRR (2021)
Shinichi Tajima, Katsusuke Nabeshima
An Algorithm for Computing Torsion Differential Forms Associated with an Isolated Hypersurface Singularity. Math. Comput. Sci. 15 (2) (2021)
Katsusuke Nabeshima
Computing Parametric Standard Bases for Semi-weighted Homogeneous Isolated Hypersurface Singularities. CASC (2020)
Shinichi Tajima, Katsusuke Nabeshima
An effective method for computing Grothendieck point residue mappings. CoRR (2020)
Hiroshi Teramoto, Katsusuke Nabeshima
Parametric standard system for mixed module and its application to singularity theory. ISSAC (2020)
Shinichi Tajima, Katsusuke Nabeshima
Computing regular meromorphic differential forms via Saito's logarithmic residues. CoRR (2020)
Shinichi Tajima, Takafumi Shibuta, Katsusuke Nabeshima
Computing Logarithmic Vector Fields Along an ICIS Germ via Matlis Duality. CASC (2020)
Katsusuke Nabeshima, Shinichi Tajima
Solving Parametric Ideal Membership Problems and Computing Integral Numbers in a Ring of Convergent Power Series Via Comprehensive Gröbner Systems. Math. Comput. Sci. 13 (1-2) (2019)
Katsusuke Nabeshima, Shinichi Tajima
Generalized Integral Dependence Relations. MACIS (2019)
Shinichi Tajima, Katsusuke Nabeshima
An Implementation of the Lê-Teissier Method for Computing Local Euler Obstructions. Math. Comput. Sci. 13 (1-2) (2019)
Katsusuke Nabeshima, Shinichi Tajima
Testing zero-dimensionality of varieties at a point. CoRR (2019)
Yosuke Sato, Hiroshi Sekigawa, Ryoya Fukasaku, Katsusuke Nabeshima
On Parametric Border Bases. MACIS (2019)
Katsusuke Nabeshima, Katsuyoshi Ohara, Shinichi Tajima
-modules. J. Symb. Comput. 89 (2018)
Katsusuke Nabeshima, Shinichi Tajima
Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals. J. Symb. Comput. 82 (2017)
Katsusuke Nabeshima, Katsuyoshi Ohara, Shinichi Tajima
Comprehensive Gröbner Systems in Rings of Differential Operators, Holonomic D-modules and B-functions. ISSAC (2016)
Katsusuke Nabeshima, Shinichi Tajima
Computing Tjurina stratifications of μ-constant deformations via parametric local cohomology systems. Appl. Algebra Eng. Commun. Comput. 27 (6) (2016)
Katsusuke Nabeshima, Shinichi Tajima
Computing Logarithmic Vector Fields Associated with Parametric Semi-Quasihomogeneous Hypersurface Isolated Singularities. ISSAC (2015)
Katsusuke Nabeshima, Shinichi Tajima
Solving Extended Ideal Membership Problems in Rings of Convergent Power Series via Gröbner Bases. MACIS (2015)
Katsusuke Nabeshima, Shinichi Tajima
Algebraic Local Cohomology with Parameters and Parametric Standard Bases for Zero-Dimensional Ideals. CoRR (2015)
Katsusuke Nabeshima, Shinichi Tajima
Efficient Computation of Algebraic Local Cohomology Classes and Change of Ordering for Zero-Dimensional Standard Bases. CASC (2015)
Katsusuke Nabeshima, Shinichi Tajima
An Algorithm for Computing Standard Bases by Change of Ordering via Algebraic Local Cohomology. ICMS (2014)
Katsusuke Nabeshima, Shinichi Tajima
On efficient algorithms for computing parametric local cohomology classes associated with semi-quasihomogeneous singularities and standard bases. ISSAC (2014)
Katsusuke Nabeshima, Shinichi Tajima
An Algorithm for Computing Tjurina Stratifications of μ-Constant Deformations by Using Local Cohomology Classes with Parameters. ICMS (2014)
Katsusuke Nabeshima
Stability Conditions of Monomial Bases and Comprehensive Gröbner Systems. CASC (2012)
Yosuke Sato, Shutaro Inoue, Akira Suzuki, Katsusuke Nabeshima, Kô Sakai
Boolean Gröbner bases. J. Symb. Comput. 46 (5) (2011)
Katsusuke Nabeshima
Reduced Gröbner Bases in Polynomial Rings over a Polynomial Ring. Math. Comput. Sci. 2 (4) (2009)
Katsusuke Nabeshima
A speed-up of the algorithm for computing comprehensive Gröbner systems. ISSAC (2007)
Katsusuke Nabeshima
PGB: a package for computing parametric Gröbner and related objects. ACM Commun. Comput. Algebra 41 (3) (2007)
Katsusuke Nabeshima
A Computation Method for ACGB-V. Algorithmic Algebra and Logic (2005)
Katsusuke Nabeshima
A Direct Products of Fields Approach to Comprehensive Gröbner Bases over Finite Fields. SYNASC (2005)