Tajima, Shinichi; Nabeshima, Katsusuke An effective method for computing Grothendieck point residue mappings. (English) Zbl 1484.32006 J. Algebra 593, 568-588 (2022). MSC: 32A27 32C36 13P10 14B15 PDFBibTeX XMLCite \textit{S. Tajima} and \textit{K. Nabeshima}, J. Algebra 593, 568--588 (2022; Zbl 1484.32006) Full Text: DOI arXiv
Ohara, Katsuyoshi; Tajima, Shinichi An algorithm for computing Grothendieck local residues. II: General case. (English) Zbl 1457.32006 Math. Comput. Sci. 14, No. 2, 483-496 (2020). MSC: 32A27 13N10 32C38 PDFBibTeX XMLCite \textit{K. Ohara} and \textit{S. Tajima}, Math. Comput. Sci. 14, No. 2, 483--496 (2020; Zbl 1457.32006) Full Text: DOI arXiv
Nabeshima, Katsusuke; Tajima, Shinichi Alternative algorithms for computing generic \(\mu^\ast\)-sequences and local Euler obstructions of isolated hypersurface singularities. (English) Zbl 1423.13097 J. Algebra Appl. 18, No. 8, Article ID 1950156, 13 p. (2019). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 13D45 32C37 13J05 32A27 PDFBibTeX XMLCite \textit{K. Nabeshima} and \textit{S. Tajima}, J. Algebra Appl. 18, No. 8, Article ID 1950156, 13 p. (2019; Zbl 1423.13097) Full Text: DOI
Ohara, Katsuyoshi; Tajima, Shinichi An algorithm for computing Grothendieck local residues. I: Shape basis case. (English) Zbl 1474.32015 Math. Comput. Sci. 13, No. 1-2, 205-216 (2019). MSC: 32A27 13N10 PDFBibTeX XMLCite \textit{K. Ohara} and \textit{S. Tajima}, Math. Comput. Sci. 13, No. 1--2, 205--216 (2019; Zbl 1474.32015) Full Text: DOI
Nabeshima, Katsusuke; Tajima, Shinichi A new method for computing the limiting tangent space of an isolated hypersurface singularity via algebraic local cohomology. (English) Zbl 1420.13044 Izumiya, Shyuichi (ed.) et al., Singularities in generic geometry. Proceedings of the 4th workshop on singularities in generic geometry and applications (Valencia IV), Kobe, Japan, June 3–6, 2015 and Kyoto, Japan, June 8–10, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 78, 331-344 (2018). MSC: 13D45 32C37 13J05 32A27 PDFBibTeX XMLCite \textit{K. Nabeshima} and \textit{S. Tajima}, Adv. Stud. Pure Math. 78, 331--344 (2018; Zbl 1420.13044)
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules. (English) Zbl 1428.13047 J. Symb. Comput. 89, 146-170 (2018). Reviewer: Rolf Källström (Gävle) MSC: 13P10 13D45 13J05 14F10 32A27 32C37 PDFBibTeX XMLCite \textit{K. Nabeshima} et al., J. Symb. Comput. 89, 146--170 (2018; Zbl 1428.13047) Full Text: DOI
Nabeshima, Katsusuke; Tajima, Shinichi Computing \(\mu^{*}\)-sequences of hypersurface isolated singularities via parametric local cohomology systems. (English) Zbl 1393.13035 Acta Math. Vietnam. 42, No. 2, 279-288 (2017). Reviewer: Takesi Kawasaki (Tokyo) MSC: 13D45 32C37 13J05 32A27 PDFBibTeX XMLCite \textit{K. Nabeshima} and \textit{S. Tajima}, Acta Math. Vietnam. 42, No. 2, 279--288 (2017; Zbl 1393.13035) Full Text: DOI
Nabeshima, Katsusuke; Tajima, Shinichi Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals. (English) Zbl 1430.13026 J. Symb. Comput. 82, 91-122 (2017). MSC: 13D45 13J05 32A27 32C37 68W30 PDFBibTeX XMLCite \textit{K. Nabeshima} and \textit{S. Tajima}, J. Symb. Comput. 82, 91--122 (2017; Zbl 1430.13026) Full Text: DOI arXiv
Nabeshima, Katsusuke; Tajima, Shinichi Computing Tjurina stratifications of \(\mu \)-constant deformations via parametric local cohomology systems. (English) Zbl 1357.13021 Appl. Algebra Eng. Commun. Comput. 27, No. 6, 451-467 (2016). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 13D45 32C37 13J05 32A27 PDFBibTeX XMLCite \textit{K. Nabeshima} and \textit{S. Tajima}, Appl. Algebra Eng. Commun. Comput. 27, No. 6, 451--467 (2016; Zbl 1357.13021) Full Text: DOI
Tajima, Shinichi Algebraic analysis of multivariate Hermite interpolation formulas. (English) Zbl 1038.32012 Begehr, Heinrich G. W. (ed.) et al., Proceedings of the second ISAAC congress. Vol. 2. Proceedings of the International Society for Analysis, its Applications and Computation Congress, Fukuoka, Japan, August 16–21, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6598-4/hbk). Int. Soc. Anal. Appl. Comput. 8, 829-838 (2000). MSC: 32E30 32C38 14F43 14F10 PDFBibTeX XMLCite \textit{S. Tajima}, Int. Soc. Anal. Appl. Comput. 8, 829--838 (2000; Zbl 1038.32012)