Honda, Naofumi; Izawa, Takeshi; Suwa, Tatsuo Sato hyperfunctions via relative Dolbeault cohomology. (English) Zbl 1510.32008 J. Math. Soc. Japan 75, No. 1, 229-290 (2023). MSC: 32A45 32C35 PDFBibTeX XMLCite \textit{N. Honda} et al., J. Math. Soc. Japan 75, No. 1, 229--290 (2023; Zbl 1510.32008) Full Text: DOI arXiv Link
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
Tajima, Shinichi; Nabeshima, Katsusuke A new deterministic method for computing Milnor number of an ICIS. (English) Zbl 07497966 Boulier, François (ed.) et al., Computer algebra in scientific computing. 23rd international workshop, CASC 2021, Sochi, Russia, September 13–17, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12865, 391-408 (2021). MSC: 68W30 PDFBibTeX XMLCite \textit{S. Tajima} and \textit{K. Nabeshima}, Lect. Notes Comput. Sci. 12865, 391--408 (2021; Zbl 07497966) Full Text: DOI
Nabeshima, Katsusuke; Tajima, Shinichi Methods for computing \(b\)-functions associated with \(\mu\)-constant deformations: case of inner modality two. (English) Zbl 1509.14116 Kyushu J. Math. 75, No. 1, 55-76 (2021). MSC: 14Q05 13P10 14B05 14F10 14H20 PDFBibTeX XMLCite \textit{K. Nabeshima} and \textit{S. Tajima}, Kyushu J. Math. 75, No. 1, 55--76 (2021; Zbl 1509.14116) Full Text: DOI arXiv
Tajima, Shinichi; Nabeshima, Katsusuke An algorithm for computing torsion differential forms associated with an isolated hypersurface singularity. (English) Zbl 1476.14008 Math. Comput. Sci. 15, No. 2, 353-367 (2021). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14B05 32S25 32S05 PDFBibTeX XMLCite \textit{S. Tajima} and \textit{K. Nabeshima}, Math. Comput. Sci. 15, No. 2, 353--367 (2021; Zbl 1476.14008) Full Text: DOI
Nabeshima, Katsusuke; Tajima, Shinichi A new algorithm for computing logarithmic vector fields along an isolated singularity and Bruce-Roberts Milnor ideals. (English) Zbl 1489.14085 J. Symb. Comput. 107, 190-208 (2021). Reviewer: Alvaro Bustinduy (Madrid) MSC: 14Q10 32S05 32S65 68W30 PDFBibTeX XMLCite \textit{K. Nabeshima} and \textit{S. Tajima}, J. Symb. Comput. 107, 190--208 (2021; Zbl 1489.14085) Full Text: DOI
Tajima, Shinichi; Nabeshima, Katsusuke Computing regular meromorphic differential forms via Saito’s logarithmic residues. (English) Zbl 1472.32013 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 019, 21 p. (2021). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 32S05 32A27 14F10 14B05 32C38 32S40 PDFBibTeX XMLCite \textit{S. Tajima} and \textit{K. Nabeshima}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 019, 21 p. (2021; Zbl 1472.32013) Full Text: DOI arXiv
Nabeshima, Katsusuke; Tajima, Shinichi Generalized integral dependence relations. (English) Zbl 07441060 Slamanig, Daniel (ed.) et al., Mathematical aspects of computer and information sciences. 8th international conference, MACIS 2019, Gebze, Turkey, November 13–15, 2019. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11989, 48-63 (2020). MSC: 68-XX 65-XX PDFBibTeX XMLCite \textit{K. Nabeshima} and \textit{S. Tajima}, Lect. Notes Comput. Sci. 11989, 48--63 (2020; Zbl 07441060) Full Text: DOI
Shibuta, Takafumi; Tajima, Shinichi An algorithm for computing the Hilbert-Samuel multiplicities and reductions of zero-dimensional ideals of Cohen-Macaulay local rings. (English) Zbl 1446.13011 J. Symb. Comput. 96, 108-121 (2020). Reviewer: Ali Benhissi (Monastir) MSC: 13D40 13H15 68W30 PDFBibTeX XMLCite \textit{T. Shibuta} and \textit{S. Tajima}, J. Symb. Comput. 96, 108--121 (2020; Zbl 1446.13011) 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
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; Nakamura, Yayoi Algebraic local cohomology classes attached to unimodal singularities. (English) Zbl 1246.14009 Publ. Res. Inst. Math. Sci. 48, No. 1, 21-43 (2012). Reviewer: Takesi Kawasaki (Tokyo) MSC: 14B15 32C37 32S25 PDFBibTeX XMLCite \textit{S. Tajima} and \textit{Y. Nakamura}, Publ. Res. Inst. Math. Sci. 48, No. 1, 21--43 (2012; Zbl 1246.14009) Full Text: DOI
Tajima, Shinichi; Nakamura, Yayoi Annihilating ideals for an algebraic local cohomology class. (English) Zbl 1171.32020 J. Symb. Comput. 44, No. 5, 435-448 (2009). Reviewer: Jan Stevens (Göteborg) MSC: 32S40 PDFBibTeX XMLCite \textit{S. Tajima} and \textit{Y. Nakamura}, J. Symb. Comput. 44, No. 5, 435--448 (2009; Zbl 1171.32020) Full Text: DOI