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## Nabeshima, Katsusuke

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 Author ID: nabeshima.katsusuke Published as: Nabeshima, Katsusuke; Nabeshima, K. External Links: MGP
 Documents Indexed: 35 Publications since 2002, including 1 Book
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#### Co-Authors

 6 single-authored 25 Tajima, Shinichi 2 Nakamura, Yayoi 2 Ohara, Katsuyoshi 2 Sato, Yosuke 2 Suzuki, Akira 1 Inoue, Shutaro 1 Sakai, Kô 1 Suzudo, Tomoaki 1 Teramoto, Hiroshi
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#### Serials

 5 Mathematics in Computer Science 4 Journal of Symbolic Computation 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Acta Mathematica Vietnamica 1 Mathematics and Computers in Simulation 1 Tsukuba Journal of Mathematics 1 Saitama Mathematical Journal 1 Japan Journal of Industrial and Applied Mathematics 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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#### Fields

 24 Commutative algebra (13-XX) 16 Several complex variables and analytic spaces (32-XX) 16 Computer science (68-XX) 10 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

19 Publications have been cited 89 times in 35 Documents Cited by Year
A speed-up of the algorithm for computing comprehensive Gröbner systems. Zbl 1190.13025
Nabeshima, Katsusuke
2007
Standard bases and algebraic local cohomology for zero dimensional ideals. Zbl 1194.13020
Tajima, Shinichi; Nakamura, Yayoi; Nabeshima, Katsusuke
2009
Stability conditions of monomial bases and comprehensive Gröbner systems. Zbl 1373.13030
Nabeshima, Katsusuke
2012
Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals. Zbl 1430.13026
Nabeshima, Katsusuke; Tajima, Shinichi
2017
Boolean Gröbner bases. Zbl 1211.68519
Sato, Yosuke; Inoue, Shutaro; Suzuki, Akira; Nabeshima, Katsusuke; Sakai, Ko
2011
On efficient algorithms for computing parametric local cohomology classes associated with semi-quasihomogeneous singularities and standard bases. Zbl 1325.68297
Nabeshima, Katsusuke; Tajima, Shinichi
2014
Computing Tjurina stratifications of $$\mu$$-constant deformations via parametric local cohomology systems. Zbl 1357.13021
Nabeshima, Katsusuke; Tajima, Shinichi
2016
On the computation of parametric Gröbner bases for modules and syzygies. Zbl 1204.13019
Nabeshima, Katsusuke
2010
Computing logarithmic vector fields associated with parametric semi-quasihomogeneous hypersurface isolated singularities. Zbl 1345.68291
Nabeshima, Katsusuke; Tajima, Shinichi
2015
Computation methods of logarithmic vector fields associated to semi-weighted homogeneous isolated hypersurface singularities. Zbl 1418.32019
Nabeshima, Katsusuke; Tajima, Shinichi
2018
Computing $$\mu^{*}$$-sequences of hypersurface isolated singularities via parametric local cohomology systems. Zbl 1393.13035
Nabeshima, Katsusuke; Tajima, Shinichi
2017
Reduced Gröbner bases in polynomial rings over a polynomial ring. Zbl 1205.13033
Nabeshima, Katsusuke
2009
Solving extended ideal membership problems in rings of convergent power series via Gröbner bases. Zbl 1460.13052
Nabeshima, Katsusuke; Tajima, Shinichi
2016
An algorithm for computing Tjurina stratifications of $$\mu$$-constant deformations by using local cohomology classes with parameters. Zbl 1437.14011
Nabeshima, Katsusuke; Tajima, Shinichi
2014
Comprehensive Gröbner systems in rings of differential operators, holonomic $$D$$-modules and b-functions. Zbl 1360.13062
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
2016
Efficient computation of algebraic local cohomology classes and change of ordering for zero-dimensional standard bases. Zbl 1439.13077
Nabeshima, Katsusuke; Tajima, Shinichi
2015
A new method for computing the limiting tangent space of an isolated hypersurface singularity via algebraic local cohomology. Zbl 1420.13044
Nabeshima, Katsusuke; Tajima, Shinichi
2018
Alternative algorithms for computing generic $$\mu^\ast$$-sequences and local Euler obstructions of isolated hypersurface singularities. Zbl 1423.13097
Nabeshima, Katsusuke; Tajima, Shinichi
2019
Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic $$D$$-modules. Zbl 1428.13047
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
2018
Alternative algorithms for computing generic $$\mu^\ast$$-sequences and local Euler obstructions of isolated hypersurface singularities. Zbl 1423.13097
Nabeshima, Katsusuke; Tajima, Shinichi
2019
Computation methods of logarithmic vector fields associated to semi-weighted homogeneous isolated hypersurface singularities. Zbl 1418.32019
Nabeshima, Katsusuke; Tajima, Shinichi
2018
A new method for computing the limiting tangent space of an isolated hypersurface singularity via algebraic local cohomology. Zbl 1420.13044
Nabeshima, Katsusuke; Tajima, Shinichi
2018
Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic $$D$$-modules. Zbl 1428.13047
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
2018
Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals. Zbl 1430.13026
Nabeshima, Katsusuke; Tajima, Shinichi
2017
Computing $$\mu^{*}$$-sequences of hypersurface isolated singularities via parametric local cohomology systems. Zbl 1393.13035
Nabeshima, Katsusuke; Tajima, Shinichi
2017
Computing Tjurina stratifications of $$\mu$$-constant deformations via parametric local cohomology systems. Zbl 1357.13021
Nabeshima, Katsusuke; Tajima, Shinichi
2016
Solving extended ideal membership problems in rings of convergent power series via Gröbner bases. Zbl 1460.13052
Nabeshima, Katsusuke; Tajima, Shinichi
2016
Comprehensive Gröbner systems in rings of differential operators, holonomic $$D$$-modules and b-functions. Zbl 1360.13062
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
2016
Computing logarithmic vector fields associated with parametric semi-quasihomogeneous hypersurface isolated singularities. Zbl 1345.68291
Nabeshima, Katsusuke; Tajima, Shinichi
2015
Efficient computation of algebraic local cohomology classes and change of ordering for zero-dimensional standard bases. Zbl 1439.13077
Nabeshima, Katsusuke; Tajima, Shinichi
2015
On efficient algorithms for computing parametric local cohomology classes associated with semi-quasihomogeneous singularities and standard bases. Zbl 1325.68297
Nabeshima, Katsusuke; Tajima, Shinichi
2014
An algorithm for computing Tjurina stratifications of $$\mu$$-constant deformations by using local cohomology classes with parameters. Zbl 1437.14011
Nabeshima, Katsusuke; Tajima, Shinichi
2014
Stability conditions of monomial bases and comprehensive Gröbner systems. Zbl 1373.13030
Nabeshima, Katsusuke
2012
Boolean Gröbner bases. Zbl 1211.68519
Sato, Yosuke; Inoue, Shutaro; Suzuki, Akira; Nabeshima, Katsusuke; Sakai, Ko
2011
On the computation of parametric Gröbner bases for modules and syzygies. Zbl 1204.13019
Nabeshima, Katsusuke
2010
Standard bases and algebraic local cohomology for zero dimensional ideals. Zbl 1194.13020
Tajima, Shinichi; Nakamura, Yayoi; Nabeshima, Katsusuke
2009
Reduced Gröbner bases in polynomial rings over a polynomial ring. Zbl 1205.13033
Nabeshima, Katsusuke
2009
A speed-up of the algorithm for computing comprehensive Gröbner systems. Zbl 1190.13025
Nabeshima, Katsusuke
2007
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#### Cited by 41 Authors

 14 Tajima, Shinichi 12 Nabeshima, Katsusuke 3 Sun, Yao 3 Wang, Dingkang 2 Chen, Zhenghong 2 Francis, Maria 2 Fukasaku, Ryoya 2 Inoue, Shutaro 2 Kapur, Deepak 2 Lu, Dong 2 Nakamura, Yayoi 2 Sato, Yosuke 2 Tang, Xiaoxian 2 Xia, Bican 1 Agudelo-Agudelo, Juan C. 1 Berkesch Zamaere, Christine 1 Dehghani Darmian, Mahdi 1 Dukkipati, Ambedkar 1 Echeverri-Valencia, Santiago 1 Falcón Ganfornina, Raúl Manuel 1 Fløystad, Gunnar 1 Forsgård, Jens 1 Green, Martin J. 1 Greve, Bjørn Møller 1 Hashemi, Amir 1 Iwane, Hidenao 1 Jeavons, Peter G. 1 Jefferson, Christopher 1 Lundqvist, Samuel 1 Matusevich, Laura Felicia 1 Monagan, Michael B. 1 Nagasaka, Kosaku 1 Ohara, Katsuyoshi 1 Raddum, Håvard 1 Shibuta, Takafumi 1 Stones, Rebecca J. 1 Swinarski, David 1 van Dongen, Marc R. C. 1 Verron, Thibaut 1 Ytrehus, Øyvind 1 Zhou, Jie
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#### Cited in 16 Serials

 8 Journal of Symbolic Computation 7 Mathematics in Computer Science 3 Journal of Systems Science and Complexity 2 Applicable Algebra in Engineering, Communication and Computing 1 Acta Mathematica Vietnamica 1 Journal of Pure and Applied Algebra 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the American Mathematical Society 1 Journal of Automated Reasoning 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of Applied Non-Classical Logics 1 The Electronic Journal of Combinatorics 1 Annals of Mathematics and Artificial Intelligence 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Science China. Information Sciences
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#### Cited in 13 Fields

 23 Commutative algebra (13-XX) 15 Computer science (68-XX) 12 Several complex variables and analytic spaces (32-XX) 10 Algebraic geometry (14-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX)