Lőrincz, András Cristian Holonomic functions and prehomogeneous spaces. (English) Zbl 1522.14025 Sel. Math., New Ser. 29, No. 5, Paper No. 69, 48 p. (2023). Reviewer: Christoph Koutschan (Linz) MSC: 14F10 14L30 13A50 11S90 16S32 32S40 PDFBibTeX XMLCite \textit{A. C. Lőrincz}, Sel. Math., New Ser. 29, No. 5, Paper No. 69, 48 p. (2023; Zbl 1522.14025) Full Text: DOI arXiv
Carotenuto, Alessandro; Mrozinski, Colin; Ó Buachalla, Réamonn A Borel-Weil theorem for the quantum Grassmannians. (English) Zbl 07732792 Doc. Math. 28, No. 2, 261-314 (2023). MSC: 46L87 81R60 81R50 17B37 16T05 PDFBibTeX XMLCite \textit{A. Carotenuto} et al., Doc. Math. 28, No. 2, 261--314 (2023; Zbl 07732792) Full Text: DOI arXiv
Ardizzoni, Alessandro; El Kaoutit, Laiachi; Saracco, Paolo Toward differentiation and integration between Hopf algebroids and Lie algebroids. (English) Zbl 1524.14096 Publ. Mat., Barc. 67, No. 1, 3-88 (2023). Reviewer: Nicolás Andruskiewitsch (Córdoba) MSC: 14L17 16T15 16S30 20L05 22A22 20F40 13N15 22E20 PDFBibTeX XMLCite \textit{A. Ardizzoni} et al., Publ. Mat., Barc. 67, No. 1, 3--88 (2023; Zbl 1524.14096) Full Text: DOI arXiv
Díaz García, Fredy; Krutov, Andrey O.; Ó Buachalla, Réamonn; Somberg, Petr; Strung, Karen R. Positive line modules over the irreducible quantum flag manifolds. (English) Zbl 1512.46052 Lett. Math. Phys. 112, No. 6, Paper No. 123, 33 p. (2022). MSC: 46L87 81R60 81R50 17B37 16T05 PDFBibTeX XMLCite \textit{F. Díaz García} et al., Lett. Math. Phys. 112, No. 6, Paper No. 123, 33 p. (2022; Zbl 1512.46052) Full Text: DOI arXiv
Àlvarez Montaner, Josep; Hernández, Daniel J.; Jeffries, Jack; Núñez-Betancourt, Luis; Teixeira, Pedro; Witt, Emily E. Bernstein-Sato functional equations, \(V\)-filtrations, and multiplier ideals of direct summands. (English) Zbl 1506.14037 Commun. Contemp. Math. 24, No. 10, Article ID 2150083, 47 p. (2022). MSC: 14F10 13N10 13A35 16S32 13D45 14B05 14M25 13A50 PDFBibTeX XMLCite \textit{J. Àlvarez Montaner} et al., Commun. Contemp. Math. 24, No. 10, Article ID 2150083, 47 p. (2022; Zbl 1506.14037) Full Text: DOI arXiv
Montaner, Josep Àlvarez; Jeffries, Jack; Núñez-Betancourt, Luis Bernstein-Sato polynomials in commutative algebra. (English) Zbl 1498.14042 Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 1-76 (2021). MSC: 14F10 13N10 13A35 16S32 13D45 14B05 14M25 13A50 PDFBibTeX XMLCite \textit{J. À. Montaner} et al., in: Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 1--76 (2021; Zbl 1498.14042) Full Text: DOI arXiv
El Kaoutit, Laiachi; Gómez-Torrecillas, José On the finite dual of a cocommutative Hopf algebroid. Application to linear differential matrix equations and Picard-Vessiot theory. (English) Zbl 1482.12004 Bull. Belg. Math. Soc. - Simon Stevin 28, No. 1, 53-121 (2021). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H20 16T05 17B37 16D90 16T10 58H05 13N15 12H05 13N05 PDFBibTeX XMLCite \textit{L. El Kaoutit} and \textit{J. Gómez-Torrecillas}, Bull. Belg. Math. Soc. - Simon Stevin 28, No. 1, 53--121 (2021; Zbl 1482.12004) Full Text: DOI arXiv
Bostan, Alin; Rivoal, Tanguy; Salvy, Bruno Explicit degree bounds for right factors of linear differential operators. (English) Zbl 1505.34128 Bull. Lond. Math. Soc. 53, No. 1, 53-62 (2021). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M15 12H05 16S32 34M03 PDFBibTeX XMLCite \textit{A. Bostan} et al., Bull. Lond. Math. Soc. 53, No. 1, 53--62 (2021; Zbl 1505.34128) Full Text: DOI arXiv
Masuoka, Akira; Saito, Katsunori; Umemura, Hiroshi Toward quantization of Galois theory. (English. French summary) Zbl 1468.12006 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1319-1431 (2021). MSC: 12H20 12-02 16T05 12H05 PDFBibTeX XMLCite \textit{A. Masuoka} et al., Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1319--1431 (2021; Zbl 1468.12006) Full Text: DOI arXiv
Díaz García, Fredy; Krutov, Andrey; Ó Buachalla, Réamonn; Somberg, Petr; Strung, Karen R. Holomorphic relative Hopf modules over the irreducible quantum flag manifolds. (English) Zbl 1469.46072 Lett. Math. Phys. 111, No. 1, Paper No. 10, 25 p. (2021). MSC: 46L87 46L65 81R60 81R50 17B37 16T05 PDFBibTeX XMLCite \textit{F. Díaz García} et al., Lett. Math. Phys. 111, No. 1, Paper No. 10, 25 p. (2021; Zbl 1469.46072) Full Text: DOI arXiv
Boalch, Philip; Yamakawa, Daisuke Diagrams for nonabelian Hodge spaces on the affine line. (Diagrammes pour les espaces de Hodge non abéliens sur la droite affine.) (English. French summary) Zbl 1455.14067 C. R., Math., Acad. Sci. Paris 358, No. 1, 59-65 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 14H60 34M55 14H15 17B80 14D05 53D30 16G20 53D20 PDFBibTeX XMLCite \textit{P. Boalch} and \textit{D. Yamakawa}, C. R., Math., Acad. Sci. Paris 358, No. 1, 59--65 (2020; Zbl 1455.14067) Full Text: DOI arXiv
Bahloul, Rouchdi Gröbner bases in \(D\)-modules: application to Bernstein-Sato polynomials. (English) Zbl 1442.14065 Iohara, Kenji (ed.) et al., Two algebraic byways from differential equations: Gröbner bases and quivers. Cham: Springer. Algorithms Comput. Math. 28, 75-93 (2020). MSC: 14F10 13N10 16S38 13P10 PDFBibTeX XMLCite \textit{R. Bahloul}, Algorithms Comput. Math. 28, 75--93 (2020; Zbl 1442.14065) Full Text: DOI
Xu, Xiaomeng Stokes phenomenon and Yang-Baxter equations. (English) Zbl 1457.58024 Commun. Math. Phys. 377, No. 1, 149-159 (2020). MSC: 58J90 20F36 32G34 16T25 PDFBibTeX XMLCite \textit{X. Xu}, Commun. Math. Phys. 377, No. 1, 149--159 (2020; Zbl 1457.58024) Full Text: DOI arXiv
Heinle, Albert; Levandovskyy, Viktor Factorization of \( \mathbb {Z}\)-homogeneous polynomials in the first \(q\)-Weyl algebra. (English) Zbl 1400.16001 Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer (ISBN 978-3-319-70565-1/hbk; 978-3-319-70566-8/ebook). 455-480 (2017). MSC: 16-04 68W30 16Z05 68-04 68W40 PDFBibTeX XMLCite \textit{A. Heinle} and \textit{V. Levandovskyy}, in: Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 455--480 (2017; Zbl 1400.16001) Full Text: DOI arXiv
Àlvarez Montaner, Josep; Huneke, Craig; Núñez-Betancourt, Luis \(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands. (English) Zbl 1388.14065 Adv. Math. 321, 298-325 (2017). Reviewer: Linquan Ma (Salt Lake City) MSC: 14F10 13N10 13A35 16S32 13D45 14B05 14M25 13A50 PDFBibTeX XMLCite \textit{J. Àlvarez Montaner} et al., Adv. Math. 321, 298--325 (2017; Zbl 1388.14065) Full Text: DOI arXiv
Giesbrecht, Mark; Heinle, Albert; Levandovskyy, Viktor Factoring linear partial differential operators in \(n\) variables. (English) Zbl 1335.68302 J. Symb. Comput. 75, 127-148 (2016). MSC: 68W30 16S32 16Z05 35A30 PDFBibTeX XMLCite \textit{M. Giesbrecht} et al., J. Symb. Comput. 75, 127--148 (2016; Zbl 1335.68302) Full Text: DOI
Bellamy, Gwyn; Ginzburg, Victor Hamiltonian reduction and nearby cycles for mirabolic \(\mathcal{D}\)-modules. (English) Zbl 1346.14043 Adv. Math. 269, 71-161 (2015). MSC: 14F10 16S38 PDFBibTeX XMLCite \textit{G. Bellamy} and \textit{V. Ginzburg}, Adv. Math. 269, 71--161 (2015; Zbl 1346.14043) Full Text: DOI arXiv
Nishiyama, Kenta; Noro, Masayuki Stratification associated with local \(b\)-functions. (English) Zbl 1184.13079 J. Symb. Comput. 45, No. 4, 462-480 (2010). MSC: 13P10 14F10 16S32 32C38 13N99 PDFBibTeX XMLCite \textit{K. Nishiyama} and \textit{M. Noro}, J. Symb. Comput. 45, No. 4, 462--480 (2010; Zbl 1184.13079) Full Text: DOI
Arcadias, Rémi Minimal resolutions of geometric \(\mathcal D\)-modules. (English) Zbl 1215.32008 J. Pure Appl. Algebra 214, No. 8, 1477-1496 (2010). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 32C38 16E05 16S32 32S40 32S50 32S45 PDFBibTeX XMLCite \textit{R. Arcadias}, J. Pure Appl. Algebra 214, No. 8, 1477--1496 (2010; Zbl 1215.32008) Full Text: DOI arXiv
Schulze, Mathias; Walther, Uli Irregularity of hypergeometric systems via slopes along coordinate subspaces. (English) Zbl 1144.13012 Duke Math. J. 142, No. 3, 465-509 (2008). Reviewer: Takesi Kawasaki (Tokyo) MSC: 13N10 14M25 16W70 PDFBibTeX XMLCite \textit{M. Schulze} and \textit{U. Walther}, Duke Math. J. 142, No. 3, 465--509 (2008; Zbl 1144.13012) Full Text: DOI arXiv
Bahloul, Rouchdi Some results on Bernstein-Sato polynomials for parametric analytic functions. (English) Zbl 1109.32023 Proc. Japan Acad., Ser. A 82, No. 3, 40-45 (2006). MSC: 32S10 32S40 16S32 13P99 PDFBibTeX XMLCite \textit{R. Bahloul}, Proc. Japan Acad., Ser. A 82, No. 3, 40--45 (2006; Zbl 1109.32023) Full Text: DOI arXiv Euclid
Nang, Philibert Algebraic description of \(\mathcal D\)-modules associated to \(3\times 3\) matrices. (English) Zbl 1098.32004 Bull. Sci. Math. 130, No. 1, 15-32 (2006). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 32C38 16S32 32S40 14F10 PDFBibTeX XMLCite \textit{P. Nang}, Bull. Sci. Math. 130, No. 1, 15--32 (2006; Zbl 1098.32004) Full Text: DOI
Gago-Vargas, J.; Hartillo-Hermoso, M. I.; Ucha-Enríquez, J. M. Comparison of theoretical complexities of two methods for computing annihilating ideals of polynomials. (English) Zbl 1120.68404 J. Symb. Comput. 40, No. 3, 1076-1086 (2005). MSC: 68Q25 16S32 16S36 32C38 16Z05 68W30 PDFBibTeX XMLCite \textit{J. Gago-Vargas} et al., J. Symb. Comput. 40, No. 3, 1076--1086 (2005; Zbl 1120.68404) Full Text: DOI Link
Nang, Philibert \(\mathcal D\)-modules associated to the projective space of \(n\times n\) matrices. (English. Abridged French version) Zbl 1100.32006 C. R., Math., Acad. Sci. Paris 340, No. 10, 725-730 (2005). MSC: 32C38 16S32 32S40 14F10 PDFBibTeX XMLCite \textit{P. Nang}, C. R., Math., Acad. Sci. Paris 340, No. 10, 725--730 (2005; Zbl 1100.32006) Full Text: DOI
Ucha, J. M.; Castro-Jiménez, F. J. On the computation of Bernstein-Sato ideals. (English) Zbl 1137.16304 J. Symb. Comput. 37, No. 5, 629-639 (2004). MSC: 16S32 32C38 32-04 PDFBibTeX XMLCite \textit{J. M. Ucha} and \textit{F. J. Castro-Jiménez}, J. Symb. Comput. 37, No. 5, 629--639 (2004; Zbl 1137.16304) Full Text: DOI
Leykin, Anton Constructibility of the set of polynomials with a fixed Bernstein-Sato polynomial: an algorithmic approach. (English) Zbl 1035.16018 J. Symb. Comput. 32, No. 6, 663-675 (2001). MSC: 16S32 68W30 PDFBibTeX XMLCite \textit{A. Leykin}, J. Symb. Comput. 32, No. 6, 663--675 (2001; Zbl 1035.16018) Full Text: DOI
Oaku, Toshinori Algorithms for the \(b\)-function and \(D\)-modules associated with a polynomial. (English) Zbl 0918.32006 J. Pure Appl. Algebra 117-118, 495-518 (1997). Reviewer: F.Castro-Jiménez (Sevilla) MSC: 32C38 13P10 14F10 16S32 PDFBibTeX XMLCite \textit{T. Oaku}, J. Pure Appl. Algebra 117--118, 495--518 (1997; Zbl 0918.32006) Full Text: DOI
Oaku, Toshinori An algorithm of computing \(b\)-functions. (English) Zbl 0893.32009 Duke Math. J. 87, No. 1, 115-132 (1997). Reviewer: Y.Kobayashi (Funabashi) MSC: 32C38 13N10 16S32 35A27 PDFBibTeX XMLCite \textit{T. Oaku}, Duke Math. J. 87, No. 1, 115--132 (1997; Zbl 0893.32009) Full Text: DOI
Oaku, Toshinori Algorithms for \(b\)-functions, induced systems, and algebraic local cohomology of \(D\)-modules. (English) Zbl 0893.32010 Proc. Japan Acad., Ser. A 72, No. 8, 173-178 (1996). Reviewer: L.Narváez-Macarro (Sevilla) MSC: 32C38 16S32 14F10 13P10 35A27 PDFBibTeX XMLCite \textit{T. Oaku}, Proc. Japan Acad., Ser. A 72, No. 8, 173--178 (1996; Zbl 0893.32010) Full Text: DOI
Oaku, Toshinori Gröbner bases for \(D\)-modules on a non-singular affine algebraic variety. (English) Zbl 0889.13007 Tôhoku Math. J., II. Ser. 48, No. 4, 575-600 (1996). Reviewer: A.Simis (Salvador) MSC: 13N10 13P10 14Q20 32C38 16S32 PDFBibTeX XMLCite \textit{T. Oaku}, Tôhoku Math. J. (2) 48, No. 4, 575--600 (1996; Zbl 0889.13007) Full Text: DOI
Smith, S. Paul Polynomial solutions to constant coefficient differential equations. (English) Zbl 0772.35012 Trans. Am. Math. Soc. 329, No. 2, 551-569 (1992). MSC: 35E20 16P40 PDFBibTeX XMLCite \textit{S. P. Smith}, Trans. Am. Math. Soc. 329, No. 2, 551--569 (1992; Zbl 0772.35012) Full Text: DOI
Izumi, Shuzo The exterior derivation and the orders of differential forms on contractible algebras. (English) Zbl 0397.58001 Math. Ann. 243, 31-35 (1979). MSC: 58A10 16Y99 30F30 PDFBibTeX XMLCite \textit{S. Izumi}, Math. Ann. 243, 31--35 (1979; Zbl 0397.58001) Full Text: DOI EuDML
Tougeron, Jean-Claude Sur les fonctions \(C^\infty\) et les distributions qui appartiennent à la classe de Bernstein. (French) Zbl 0396.46037 Ann. Inst. Fourier 29, No. 3, 125-161 (1979). MSC: 46F05 46M10 16Gxx PDFBibTeX XMLCite \textit{J.-C. Tougeron}, Ann. Inst. Fourier 29, No. 3, 125--161 (1979; Zbl 0396.46037) Full Text: DOI Numdam EuDML
Dorfmeister, J.; Koecher, M. Relative Invarianten und nichtassoziative Algebren. (German) Zbl 0363.22014 Math. Ann. 228, 147-186 (1977). MSC: 22E60 22E99 20B25 57S20 16Kxx PDFBibTeX XMLCite \textit{J. Dorfmeister} and \textit{M. Koecher}, Math. Ann. 228, 147--186 (1977; Zbl 0363.22014) Full Text: DOI EuDML
Langmann, Klaus Konstruktionen globaler Moduln und Anwendungen. (Constructions of global moduls and applications). (German) Zbl 0226.32009 Math. Z. 127, 235-255 (1972). MSC: 32C35 16P40 16P50 PDFBibTeX XMLCite \textit{K. Langmann}, Math. Z. 127, 235--255 (1972; Zbl 0226.32009) Full Text: DOI EuDML