Reichelt, Thomas; Saito, Morihiko; Walther, Uli Topological calculation of local cohomological dimension. (English) Zbl 1519.32002 J. Singul. 26, 13-22 (2023). MSC: 32C36 32S60 14B15 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fiorot, Luisa; Monteiro Fernandes, Teresa; Sabbah, Claude Relative regular Riemann-Hilbert correspondence. II. (English) Zbl 1514.14024 Compos. Math. 159, No. 7, 1413-1465 (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F10 32C38 32S40 32S60 35Nxx 58J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tajima, Shinichi; Nabeshima, Katsusuke; Ohara, Katsuyoshi; Umeta, Yoko Computing holonomic D-modules associated to a family of non-isolated hypersurface singularities via comprehensive Gröbner systems of PBW algebra. (English) Zbl 1544.13045 Math. Comput. Sci. 17, No. 1, Paper No. 6, 22 p. (2023). MSC: 13P10 14F10 14Q05 14H20 × Cite Format Result Cite Review PDF Full Text: DOI
Gallauer, Martin Supports for constructible systems. (English) Zbl 1509.14046 Doc. Math. 27, 1739-1772 (2022). MSC: 14F20 14F08 14F25 14F42 18G80 18M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tajima, Shinichi; Umeta, Yoko Algebraic analysis of Siersma’s non-isolated hypersurface singularities. (English) Zbl 1487.32167 Hokkaido Math. J. 51, No. 1, 117-151 (2022). MSC: 32S25 32C38 32C36 × Cite Format Result Cite Review PDF Full Text: DOI
Garoufalidis, Stavros; Scheidegger, Emanuel On the quantum \(K\)-theory of the quintic. (English) Zbl 1487.14120 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 021, 20 p. (2022). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 14N35 53D45 39A13 19E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tajima, Shinichi; Umeta, Yoko Holonomic \(D\)-modules associated with a simple line singularity and the vertical monodromy. (English) Zbl 1464.32046 Funkc. Ekvacioj, Ser. Int. 64, No. 1, 17-48 (2021). MSC: 32S40 32C38 × Cite Format Result Cite Review PDF Full Text: DOI
Lyubeznik, Gennady On Switala’s Matlis duality for \(\mathcal{D}\)-modules. (English) Zbl 1452.13031 J. Algebra 571, 258-265 (2021). MSC: 13H05 13N10 16S32 × Cite Format Result Cite Review PDF Full Text: DOI
Ito, Yohei \(\mathbb{C}\)-constructible enhanced ind-sheaves. (English) Zbl 1460.32009 Tsukuba J. Math. 44, No. 1, 155-201 (2020); corrigendum ibid. 46, No. 2, 271-275 (2022). MSC: 32C38 32S60 35A27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tajima, Shinichi Local cohomology solutions of holonomic D-modules associated with a non-isolated hypersurface singularity. (English) Zbl 1436.32035 RIMS Kôkyûroku Bessatsu B75, 61-72 (2019). MSC: 32C38 32S40 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI
Monteiro Fernandes, Teresa; Sabbah, Claude Riemann-Hilbert correspondence for mixed twistor \(\mathcal{D}\)-modules. (English) Zbl 1440.14101 J. Inst. Math. Jussieu 18, No. 3, 629-672 (2019). MSC: 14F10 14F06 32C38 32S40 32S60 58J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pym, Brent; Schedler, Travis Holonomic Poisson manifolds and deformations of elliptic algebras. (English) Zbl 1431.53090 Andersen, Jørgen Ellegaard (ed.) et al., Geometry and physics. A festschrift in honour of Nigel Hitchin. Volume 2. Oxford: Oxford University Press. 681-703 (2018). Reviewer: Albert Sheu (Lawrence) MSC: 53D17 58D27 × Cite Format Result Cite Review PDF Full Text: arXiv
Sabbah, Claude Irregular Hodge theory. (English. French summary) Zbl 1422.14003 Mém. Soc. Math. Fr., Nouv. Sér. 156, 1-126 (2018). Reviewer: Alberto Castaño Domínguez (Sevilla) MSC: 14-02 32-02 14C30 32C38 14F40 32S35 32S40 14F10 × Cite Format Result Cite Review PDF Full Text: arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Monteiro Fernandes, Teresa; Sabbah, Claude Relative Riemann-Hilbert correspondence in dimension one. (English) Zbl 1448.32001 Port. Math. (N.S.) 74, No. 2, 149-159 (2017). MSC: 32C38 14F10 32S40 32S60 35N15 35Q15 58J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Switala, Nicholas On the de Rham homology and cohomology of a complete local ring in equicharacteristic zero. (English) Zbl 1405.13033 Compos. Math. 153, No. 10, 2075-2146 (2017). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 13D45 14F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Wenliang On injective dimension of \(F\)-finite \(F\)-modules and holonomic \(D\)-modules. (English) Zbl 1391.13012 Bull. Lond. Math. Soc. 49, No. 4, 593-603 (2017). Reviewer: Ehsan Tavanfar (Tehran) MSC: 13A35 13D05 13N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nang, Philibert \(\mathcal{D}\)-modules on representations of Capelli type. (English) Zbl 1372.32016 J. Algebra 479, 380-412 (2017). MSC: 32C38 32S25 32S60 × Cite Format Result Cite Review PDF Full Text: DOI
Switala, Nicholas Van den Essen’s theorem on the de Rham cohomology of a holonomic \(\mathcal{D}\)-module over a formal power series ring. (English) Zbl 1366.14020 Expo. Math. 35, No. 2, 149-165 (2017). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14F10 14F40 47F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tajima, Shinichi; Umeta, Yoko Computing structures of holonomic D-modules associated with a simple line singularity. (English) Zbl 1358.32017 RIMS Kôkyûroku Bessatsu B57, 125-140 (2016). MSC: 32S40 32C38 × Cite Format Result Cite Review PDF
Kashiwara, Masaki Riemann-Hilbert correspondence for irregular holonomic \({\mathcal{D}}\)-modules. (English) Zbl 1351.32001 Jpn. J. Math. (3) 11, No. 1, 113-149 (2016). MSC: 32-02 32C38 35A27 32S60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Agnolo, Andrea; Kashiwara, Masaki Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules. (English) Zbl 1351.32017 Publ. Math., Inst. Hautes Étud. Sci. 123, 69-197 (2016). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 32C38 32S60 34M40 35Q15 35A27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nang, Philibert \(\mathcal {D}\)-modules on a representation of \(\mathrm{Sp}(2n, \mathbb C)\times \mathrm{GL}(2,\mathbb C)\). (English) Zbl 1318.32010 Math. Ann. 361, No. 1-2, 191-210 (2015). Reviewer: Alexandru Dimca (Nice) MSC: 32C38 32S25 32S60 × Cite Format Result Cite Review PDF Full Text: DOI
Tajima, Shinichi On b-functions and algebraic local cohomology classes attached to hypersurfaces with line singularities. (English) Zbl 1327.32044 RIMS Kôkyûroku Bessatsu B52, 175-191 (2014). MSC: 32S65 32S05 32C38 × Cite Format Result Cite Review PDF
Tajima, Shinichi On polar varieties, logarithmic vector fields and holonomic \(D\)-modules. (English) Zbl 1290.32032 RIMS Kôkyûroku Bessatsu B40, 41-51 (2013). MSC: 32S65 32S05 32C38 × Cite Format Result Cite Review PDF
D’Agnolo, Andrea; Kashiwara, Masaki On a reconstruction theorem for holonomic systems. (English) Zbl 1266.32012 Proc. Japan Acad., Ser. A 88, No. 10, 178-183 (2012). MSC: 32C38 35A20 32S60 34M40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Caro, Daniel Stability of the holonomy on quasi-projective varieties. (Stabilité de l’holonomie sur les variétés quasi-projectives.) (French. English summary) Zbl 1263.14024 Compos. Math. 147, No. 6, 1772-1792 (2011). Reviewer: Christine Noot-Huyghe (Strasbourg) MSC: 14F30 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aomoto, Kazuhiko; Kita, Michitake [Kohno, Toshitake] Theory of hypergeometric functions. With an appendix by Toshitake Kohno. (English) Zbl 1229.33001 Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-4-431-53912-4/hbk; 978-4-431-53938-4/ebook). xvi, 317 p. (2011). Reviewer: Roelof Koekoek (Delft) MSC: 33-02 33C20 14F40 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Hotta, Ryoshi; Takeuchi, Kiyoshi; Tanisaki, Toshiyuki \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi. Expanded edition. (English) Zbl 1136.14009 Progress in Mathematics 236. Basel: Birkhäuser (ISBN 978-0-8176-4363-8/hbk). x, 407 p. (2008). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 14F10 32C38 22E46 14F40 35A27 17B10 14-02 32-02 × Cite Format Result Cite Review PDF
Sabbah, Claude Isomonodromic deformations and Frobenius manifolds. An introduction. Transl. from the French. (English) Zbl 1131.14004 Universitext. Berlin: Springer; Les Ulis: EDP Sciences (ISBN 978-1-84800-053-7/pbk; 978-2-7598-0047-6). xiv, 279 p. (2007). Reviewer: Vladimir P. Kostov (Nice) MSC: 14-02 32-02 34-02 14D05 32G05 32G34 32S30 32S40 34M35 34M55 53D45 × Cite Format Result Cite Review PDF
Tajima, Shinichi; Nakamura, Yayoi Computational aspects of Grothendieck local residues. (English) Zbl 1089.32002 Brasselet, Jean-Paul (ed.) et al., Franco-Japanese singularities. Proceedings of the 2nd Franco-Japanese singularity conference, CIRM, Marseille-Luminy, France, September 9–13, 2002. Paris: Société Mathématique de France (ISBN 2-85629-166-X/pbk). Séminaires et Congrès 10, 287-305 (2005). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 32A27 32C36 32C38 × Cite Format Result Cite Review PDF Full Text: Link
Nakamura, Yayoi; Tajima, Shinichi Unimodal singularities and differential operators. (English) Zbl 1086.32024 Brasselet, Jean-Paul (ed.) et al., Franco-Japanese singularities. Proceedings of the 2nd Franco-Japanese singularity conference, CIRM, Marseille-Luminy, France, September 9–13, 2002. Paris: Société Mathématique de France (ISBN 2-85629-166-X/pbk). Séminaires et Congrès 10, 191-208 (2005). Reviewer: Carlos Galindo (Castellon) MSC: 32S25 32C36 32C38 × Cite Format Result Cite Review PDF Full Text: Link
Walther, Uli Bernstein-Sato polynomial versus cohomology of the Milnor fiber for generic hyperplane arrangements. (English) Zbl 1070.32021 Compos. Math. 141, No. 1, 121-145 (2005). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 32S40 32S22 14F40 13N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nang, Philibert \({\mathcal D}\)-modules associated to the determinantal singularities. (English) Zbl 1061.32006 Proc. Japan Acad., Ser. A 80, No. 5, 74-78 (2004). MSC: 32C38 32S25 32S60 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Blickle, Manuel The intersection homology \(D\)-module in finite characteristic. (English) Zbl 1065.14006 Math. Ann. 328, No. 3, 425-450 (2004). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14B15 13N10 14L30 13D45 13A35 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sabbah, Claude Isomonodromic deformations and Frobenius manifolds. (Déformations isomonodromiques et variétés de Frobenius.) (French) Zbl 1101.14001 Savoirs Actuels. Paris: CNRS Éditions; Paris: EDP Sciences (ISBN 2-271-05969-0/pbk; 2-86883-534-1/pbk). xvi, 289 p. (2002). Reviewer: Vladimir P. Kostov (Nice) MSC: 14-02 32-02 34-02 14D05 32G05 32G34 32S30 32S40 34M35 34M55 53D45 × Cite Format Result Cite Review PDF
Leykin, Anton Computing local cohomology in MACAULAY 2. (English) Zbl 1030.13010 Lyubeznik, Gennady (ed.), Local cohomology and its applications. Selected papers of the international workshop, Guanajuato, Mexico. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 226, 195-205 (2002). Reviewer: A.Logar (Trieste) MSC: 13P99 68W30 13N10 13D45 × Cite Format Result Cite Review PDF
Gros, Michel Characters of finite reductive groups and \(D\)-modules. (Caractères des groupes réductifs finis et \(D\)-modules.) (French) Zbl 1147.20312 Rend. Semin. Mat. Univ. Padova 106, 1-19 (2001). MSC: 20G05 20G40 20G10 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Berni, Olivier Laplace transform of temperate holomorphic functions. (English) Zbl 1003.32001 Compos. Math. 129, No. 2, 183-201 (2001). Reviewer: Edoardo Ballico (Povo) MSC: 32C38 44A10 42A38 14F10 × Cite Format Result Cite Review PDF Full Text: DOI
Oaku, Toshinori; Takayama, Nobuki Algorithms for \(D\)-modules – restriction, tensor product, localization, and local cohomology groups. (English) Zbl 0983.13008 J. Pure Appl. Algebra 156, No. 2-3, 267-308 (2001). Reviewer: T.G.Berry (Caracas) MSC: 13N10 13P10 14Q20 32C38 14B15 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Honda, Naofumi Microlocal Stokes phenomena for holonomic modules. (English) Zbl 0986.58010 Howls, Christopher J. (ed.) et al., Toward the exact WKB analysis of differential equations, linear or non-linear. Papers from the symposium on algebraic analysis of singular perturbations, Kyoto, Japan, November 30-December 5, 1998. Kyoto: Kyoto University Press. 33-38 (2000). Reviewer: Thoralf Chrobok (Berlin) MSC: 58J15 58J40 35A27 35S35 32C38 47G30 × Cite Format Result Cite Review PDF
Smithies, Laura; Taylor, Joseph L. An analytic Riemann-Hilbert correspondence for semi-simple Lie groups. (English) Zbl 0960.22013 Represent. Theory 4, 398-445 (2000). Reviewer: Vasile Oproiu (Iaşi) MSC: 22E46 55N91 18D99 × Cite Format Result Cite Review PDF
Lê Dũng Tráng Morsification of \({\mathcal D}\)-modules. (English) Zbl 0938.32014 Bol. Soc. Mat. Mex., III. Ser. 4, No. 2, 229-248 (1998). Reviewer: F.Castro-Jiménez (Sevilla) MSC: 32L10 32C38 32S60 × Cite Format Result Cite Review PDF
Marastoni, Corrado Grassmann duality for \({\mathcal D}\)-modules. (La dualité de Grassmann pour les \({\mathcal D}\)-modules.) (French. Abridged English version) Zbl 0860.32005 C. R. Acad. Sci., Paris, Sér. I 322, No. 10, 929-933 (1996). Reviewer: N.Mihalache (Bucureşti) MSC: 32C38 14F10 × Cite Format Result Cite Review PDF
Lyubeznik, Gennady On the structure of local cohomology modules of regular local rings of characteristic \(p>0\). (English) Zbl 0811.13007 Bruns, Winfried (ed.) et al., Commutative algebra: Extended abstracts of an international conference, July 27 - August 1, 1994, Vechta, Germany. Cloppenburg: Runge. Vechtaer Universitätsschriften. 13, 126-127 (1994). Reviewer: M.Morales (Saint-Martin-d’Heres) MSC: 13D45 13A35 13F25 13H05 × Cite Format Result Cite Review PDF
Neto, Orlando A desingularization theorem for systems of microdifferential equations. (English) Zbl 0807.58046 Brasselet, Jean-Paul (ed.), Singularities. Papers of the international congress ‘Singularities in geometry and topology’, held in Lille (France), 3-8 June, 1991. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 201, 325-349 (1994). Reviewer: J.S.Joel (Kelly) MSC: 58J15 32S40 32C36 32C38 × Cite Format Result Cite Review PDF
Lychagin, Valentin; Rubtsov, Vladimir Non-holonomic filtration: Algebraic and geometric aspects of non-integrability. (English) Zbl 0889.58071 Pràstaro, A. (ed.) et al., Geometry in partial differential equations. Singapore: World Scientific. 189-214 (1994). Reviewer: M.Marvan (Opava) MSC: 58J10 17B56 18G40 16W50 53C15 × Cite Format Result Cite Review PDF
Aomoto, Kazuhiko Hypergeometric functions, the past, today, and …(from the complex analytic point of view). (English. Japanese original) Zbl 0859.33001 Sugaku Expo. 9, No. 1, 99-116 (1996); translation from Sūgaku 45, No. 3, 208-220 (1993). MSC: 33-02 33C60 33C70 33C90 × Cite Format Result Cite Review PDF
Aomoto, Kazuhiko Hypergeometric functions – past, present, and possible future. (Japanese) Zbl 0787.33001 Sugaku 45, No. 3, 208-220 (1993). Reviewer: T.Sasaki (Kobe) MSC: 33-02 33C60 33C70 33C90 × Cite Format Result Cite Review PDF
Joshua, Roy The trace formula for equivariant \({\mathcal D}\)-modules and perverse sheaves. (English) Zbl 0728.14017 Math. Z. 206, No. 2, 293-302 (1991). Reviewer: L.Narváez-Macarro (Sevilla) MSC: 14F10 14L30 32C38 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Mebkhout, Zoghman Positivity theorem of the irregularity for \({\mathcal D}_X\)-modules). (Le théorème de positivité de l’irrégularité pour les \({\mathcal D}_X\)-modules.) (French) Zbl 0731.14007 The Grothendieck Festschrift, Collect. Artic. in Honor of the 60th Birthday of A. Grothendieck. Vol. III, Prog. Math. 88, 83-132 (1990). Reviewer: Luis Narváez-Macarro (Sevilla) MSC: 14F10 32C38 14F40 × Cite Format Result Cite Review PDF
Saito, Morihiko Duality for vanishing cycle functors. (English) Zbl 0712.32011 Publ. Res. Inst. Math. Sci. 25, No. 6, 889-921 (1989). Reviewer: L.Narvaez-Macarro MSC: 32C38 32C37 58A14 58A12 14F40 14F45 × Cite Format Result Cite Review PDF Full Text: DOI
Kashiwara, Masaki; Kawai, Takahiro A particular partition of unity: An auxiliary tool in Hodge theory. (English) Zbl 0702.14005 Theta functions, Proc. 35th Summer Res. Inst. Bowdoin Coll., Brunswick/ME 1987, Proc. Symp. Pure Math. 49, part 1, 19-26 (1989). Reviewer: J.M.Granger MSC: 14C30 58A10 14F43 58A14 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. Equations of hypergeometric type and Newton polyhedra. (English. Russian original) Zbl 0667.33010 Sov. Math., Dokl. 37, No. 3, 678-682 (1988); translation from Dokl. Akad. Nauk SSSR 300, No. 3, 529-534 (1988). Reviewer: A.Klimyk MSC: 33C80 33C05 32M15 53C35 35L25 58J99 32S60 × Cite Format Result Cite Review PDF
Beilinson, A. A. On the derived category of perverse sheaves. (English) Zbl 0652.14008 \(K\)-theory, arithmetic and geometry, Semin., Moscow Univ. 1984-86, Lect. Notes Math. 1289, 27-41 (1987). Reviewer: G.Horrocks MSC: 14F30 18F30 18F20 14A20 × Cite Format Result Cite Review PDF
Mebkhout, Zoghman Le théorème de comparaison entre cohomologies de De Rham sur le corps des nombres complexes. (The comparaison theorem between De Rham cohomologies over the field of complex numbers). (French) Zbl 0629.14014 C. R. Acad. Sci., Paris, Sér. I 305, 549-552 (1987). Reviewer: L.Narvaez-Macarro MSC: 14F40 32C38 32Sxx 14F10 14B05 × Cite Format Result Cite Review PDF
Casian, Luis G. Asymptotics of matrix coefficients, perverse sheaves, and Jacquet modules. (English) Zbl 0743.22011 Math. Ann. 275, 5-23 (1986). MSC: 22E46 22E45 14M15 17B55 14F40 20G05 32L10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Mebkhout, Zoghman Remarques sur l’irrégularité des \({\mathcal D}_ X\)-modules holonomes. (Remarks on the irregularity of holonomic \({\mathcal D}_ X\)- modules). (French) Zbl 0607.32007 C. R. Acad. Sci., Paris, Sér. I 303, 803-806 (1986). Reviewer: G.Gussi MSC: 32C38 32C35 32C37 32Q99 × Cite Format Result Cite Review PDF
Barlet, D.; Kashiwara, M. Le réseau \(L^ 2\) d’un système holonome régulier. (The \(L^ 2\)- réseau of a regular holonomic system). (French) Zbl 0598.32014 Invent. Math. 86, 35-62 (1986). Reviewer: M.Muro MSC: 32C15 32C25 14F10 32C36 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Casian, Luis G. Asymptotics of matrix coefficients, perverse sheaves, and Jacquet modules. (English) Zbl 0579.22016 Math. Ann. 275, 5-23 (1986). MSC: 22E46 22E45 14M15 17B55 14F40 20G05 32L10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Scherk, J.; Steenbrink, J. H. M. On the mixed Hodge structure on the cohomology of the Milnor fibre. (English) Zbl 0618.14002 Math. Ann. 271, 641-665 (1985). Reviewer: L.Bădescu MSC: 14C30 14J17 14B05 32S05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Hotta, Yoshiyuki Springer correspondence and Harish-Chandra equations. (Japanese) Zbl 0598.20046 Sûgaku 37, 193-207 (1985). Reviewer: E.Abe MSC: 20G05 20G10 22E46 20G40 × Cite Format Result Cite Review PDF
Vilonen, K. Intersection homology \({\mathcal D}\)-module on local complete intersections with isolated singularities. (English) Zbl 0578.14018 Invent. Math. 81, 107-114 (1985). Reviewer: Z.Mebkhout MSC: 14F40 14C17 32L10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Angéniol, B.; Lejeune-Jalabert, M. Le théorème de Riemann-Roch singulier pour les \({\mathcal D}\)-modules. (French) Zbl 0569.14007 Systèmes différentiels et singularités, Colloq. Luminy/France 1983, Astérisque 130, 130-160 (1985). Reviewer: A.Pankov MSC: 14C40 32L10 × Cite Format Result Cite Review PDF
Kashiwara, Masaki Index theorem for constructible sheaves. (English) Zbl 0568.32017 Systèmes différentiels et singularités, Colloq. Luminy/France 1983, Astérisque 130, 193-209 (1985). Reviewer: M.Muro MSC: 32L10 32C05 58J10 32L05 14F10 × Cite Format Result Cite Review PDF
Dubson, Alberto S. Formule pour l’indice des complexes constructibles et des modules holonomes. (A formula for the index of constructible complexes and holonomic modules). Erratum. (French) Zbl 0605.14018 C. R. Acad. Sci., Paris, Sér. I 298, 113-116 (1984); Erratum: 299, 193 (1984). Reviewer: H.Lange MSC: 14F40 32C38 14C25 × Cite Format Result Cite Review PDF
Noumi, Masatoshi Constructible \({\mathbb{C}}_ X\)-modules and holonomic \({\mathcal D}_ X\)- modules. (Japanese) Zbl 0592.32021 Sûgaku 36, 125-136 (1984). Reviewer: M.Muro MSC: 32L99 32K99 58J10 18F20 14F10 14F40 35Q15 × Cite Format Result Cite Review PDF
Kashiwara, Masaki The Riemann-Hilbert problem for holonomic systems. (English) Zbl 0566.32023 Publ. Res. Inst. Math. Sci. 20, 319-365 (1984). Reviewer: J.Kajiwara MSC: 32L10 35Q15 18F20 58J10 32K15 × Cite Format Result Cite Review PDF Full Text: DOI
Mebkhout, Z. Une équivalence de catégories. Une autre équivalence de catégories. (French) Zbl 0566.32021 Compos. Math. 51, 51-62, 63-88 (1984). MSC: 32L10 58J10 14F40 55R65 18A40 18F20 14F10 32L05 32C37 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Hotta, Ryoshi On Joseph’s construction of Weyl group representations. (English) Zbl 0545.20029 Tôhoku Math. J., II. Ser. 36, 49-74 (1984). Reviewer: P.Gérardin MSC: 20G05 17B45 14L10 20G10 22E30 × Cite Format Result Cite Review PDF Full Text: DOI
Hotta, R.; Kashiwara, M. The invariant holonomic system on a semisimple Lie algebra. (English) Zbl 0538.22013 Invent. Math. 75, No. 2, 327-358 (1984). Reviewer: David Vogan MSC: 22E46 14F10 32C38 35Q15 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Brylinski, J. L. Modules holonômes à singularités régulières et filtration de Hodge. II. (Holonomic modules at regular singularities and Hodge filtration. II). (French) Zbl 0598.14008 Astérisque 101-102, 75-117 (1983). Reviewer: J.H.M.Steenbrink MSC: 14C30 32L99 14F40 58J10 14F10 58A14 × Cite Format Result Cite Review PDF
Aomoto, Kazuhiko Configurations and invariant Gauss-Manin connections for integrals. II. (English) Zbl 0576.32017 Tokyo J. Math. 6, 1-24 (1983). MSC: 32C35 32L10 53C05 14F10 32A25 32C30 58C35 14F40 × Cite Format Result Cite Review PDF Full Text: DOI
Kashiwara, M. Vanishing cycle sheaves and holonomic systems of differential equations. (English) Zbl 0566.32022 Algebraic geometry, Proc. Jap.-Fr. Conf., Tokyo and Kyoto 1982, Lect. Notes Math. 1016, 134-142 (1983). Reviewer: Z.Mebhkout MSC: 32L10 18F20 14F10 32K15 × Cite Format Result Cite Review PDF
Lê Dũng Tráng; Mebkhout, Zoghman Variétés caractéristiques et variétés polaires. (Characteristic varieties and polar varieties). (French) Zbl 0566.32020 C. R. Acad. Sci., Paris, Sér. I 296, 129-132 (1983). MSC: 32L10 14F10 58J10 × Cite Format Result Cite Review PDF
Kashiwara, Masaki; Schapira, Pierre Microlocal study of sheaves. II: Constructible sheaves. (English) Zbl 0548.32018 Proc. Japan Acad., Ser. A 59, 352-354 (1983). MSC: 32L99 58J40 32S60 32L10 32K15 × Cite Format Result Cite Review PDF Full Text: DOI
Malgrange, Bernard Rapport sur les théoremes d’indice de Boutet de Monvel et Kashiwara. (French) Zbl 0528.32009 Astérisque 101-102, 230-242 (1983). MSC: 32Q99 14F45 14F10 32L10 32K15 × Cite Format Result Cite Review PDF
Malgrange, Bernard Polynômes de Bernstein-Sato et cohomologie evanescente. (French) Zbl 0528.32007 Astérisque 101-102, 243-267 (1983). MSC: 32A45 58J10 14F40 32L10 32C35 14F10 32K15 × Cite Format Result Cite Review PDF
Kashiwara, Masaki Holonomic systems of linear differential equations with regular singularities and related topics in topology. (English) Zbl 0525.14009 Algebraic varieties and analytic varieties, Proc. Symp., Tokyo 1981, Adv. Stud. Pure Math. 1, 49-54 (1983). MSC: 14F10 14F40 58J10 × Cite Format Result Cite Review PDF
Lê Dũng Tráng; Mebkhout, Zoghman Introduction to linear differential systems. (English) Zbl 0521.14006 Singularities, Summer Inst., Arcata/Calif. 1981, Proc. Symp. Pure Math. 40, Part 2, 31-63 (1983). MSC: 14F10 32L05 58J10 32A45 14C30 35Q15 35A20 32Sxx 32C35 14F30 58C25 58K99 58A14 × Cite Format Result Cite Review PDF
Oda, Tadao Introduction to algebraic analysis on complex manifolds. (English) Zbl 0512.14008 Algebraic varieties and analytic varieties, Proc. Symp., Tokyo 1981, Adv. Stud. Pure Math. 1, 29-48 (1983). MSC: 14F10 58J10 32K15 58C25 58K99 14F40 32A45 32L05 × Cite Format Result Cite Review PDF
Springer, T. A. Quelques applications de la cohomologie d’intersection. (French) Zbl 0526.22014 Semin. Bourbaki, 34e annee, Vol. 1981/82, Exp. No. 589, Asterisque 92-93, 249-273 (1982). MSC: 22E47 14F10 14C17 14M15 14L30 14F99 55N35 20G05 20G10 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Mebkhout, Zoghman Théoremes de bidualité locale pour les \(D_ x\)-modules holonomes. (French) Zbl 0525.32025 Ark. Mat. 20, 111-124 (1982). MSC: 32L10 32C37 14F10 32L05 32C35 32K15 × Cite Format Result Cite Review PDF Full Text: DOI
Aomoto, Kazuhiko Configurations and invariant Gauss-Manin connections of integrals. I. (English) Zbl 0524.32005 Tokyo J. Math. 5, 249-287 (1982). MSC: 32C35 53C05 14F40 14F10 32L10 × Cite Format Result Cite Review PDF Full Text: DOI
Brylinski, J. L. Modules holonomes à singularites régulières et filtration de Hodge. (French) Zbl 0523.14010 Algebraic geometry, Proc. int. Conf., La Rabida/Spain 1981, Lect. Notes Math. 961, 1-21 (1982). MSC: 14C30 14F40 32L10 14F10 55N35 32C35 14A20 58A14 58J10 × Cite Format Result Cite Review PDF
Saito, Morihiko Gauss-Manin system and mixed Hodge structure. (English) Zbl 0516.32012 Proc. Japan Acad., Ser. A 58, 29-32 (1982). MSC: 32J25 14C30 32S05 14B07 58A14 32Sxx × Cite Format Result Cite Review PDF Full Text: DOI
Brylinski, Jean-Luc; Dubson, Alberto S.; Kashiwara, Masaki Formule de l’indice pour les modules holonomes et obstruction d’Euler locale. (French) Zbl 0492.58021 C. R. Acad. Sci., Paris, Sér. I 293, 573-576 (1981). MSC: 58J20 35A30 32C36 14C40 32S05 32Sxx × Cite Format Result Cite Review PDF
Brylinski, J. L.; Kashiwara, M. Kazhdan-Lusztig conjecture and holonomic systems. (English) Zbl 0473.22009 Invent. Math. 64, 387-410 (1981). MSC: 22E47 14F40 14L30 35A99 55N35 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Brylinski, Jean-Luc; Kashiwara, Masaki Demonstration de la conjecture de Kazhdan-Lusztig sur les modules de Verma. (French) Zbl 0457.22012 C. R. Acad. Sci., Paris, Sér. A 291, 373-376 (1980). MSC: 22E47 14M15 35N99 55N99 × Cite Format Result Cite Review PDF
Mebkhout, Zoghman Sur le problème de Hilbert-Riemann. (French) Zbl 0431.32009 C. R. Acad. Sci., Paris, Sér. A 290, 415-417 (1980). MSC: 32C35 32C37 32A40 35Q15 × Cite Format Result Cite Review PDF
Pham, Frédéric [Lo Kam Chan; Maisonobe, Philippe; Rombaldi, Jean-Etienne] Singularités des systèmes différentiels de Gauss-Manin. Avec des contributions de Lo Kam Chan, Philippe Maisonobe et Jean-Etienne Rombaldi. (French) Zbl 0524.32015 Progress in Mathematics. 2. Boston-Basel-Stuttgart: Birkhäuser. V, 339 p. SFr. 34.00 (1979). MSC: 32L10 14F10 58J10 32-02 58-02 14-02 53C05 58C25 58K99 58J15 14D05 32Sxx 14B05 × Cite Format Result Cite Review PDF
Kashiwara, Masaki On the holonomic systems of linear differential equations. II. (English) Zbl 0401.32005 Invent. Math. 49, 121-135 (1978). MSC: 32C35 32C25 55N30 58C10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML