Castro-Jiménez, Francisco J.; Mond, David; Narváez-Macarro, Luis Logarithmic comparison theorems. (English) Zbl 07916325 Cisneros-Molina, José Luis (ed.) et al., Handbook of geometry and topology of singularities IV. Cham: Springer. 559-599 (2023). MSC: 32S50 14F10 32C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takeuchi, Kiyoshi On a Bernstein-Sato polynomial of a meromorphic function. (English) Zbl 1529.14012 Nagoya Math. J. 251, 715-733 (2023). Reviewer: Francisco Castro-Jiménez (Sevilla) MSC: 14F10 14F18 32C38 32S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fresán, Javier; Sabbah, Claude; Yu, Jeng-Daw Quadratic relations between periods of connections. (English) Zbl 1518.14027 Tôhoku Math. J. (2) 75, No. 2, 175-213 (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F10 32G20 34M35 14F40 32C38 14D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Teyssier, Jean-Baptiste Moduli of Stokes torsors and singularities of differential equations. (English) Zbl 1508.14012 J. Eur. Math. Soc. (JEMS) 25, No. 2, 369-411 (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D22 34M40 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lai, King Fai Differential equations and Lie group representations. (English) Zbl 1489.11195 Front. Math. China 17, No. 2, 171-225 (2022); translation from Adv. Math., Beijing 48, No. 3, 257–301 (2019). MSC: 11S80 14F30 20G05 20G25 22E45 22E50 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martin, Nicolas Behaviour of some Hodge invariants by middle convolution. (Comportement d’invariants de Hodge par convolution intermédiaire.) (English. French summary) Zbl 1497.14020 Bull. Soc. Math. Fr. 149, No. 3, 479-500 (2021). MSC: 14D07 32G20 32S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Keller, Bernhard Derived categories. (English) Zbl 1492.18017 Makhlouf, Abdenacer (ed.), Algebra and applications 1. Non-associative algebras and categories. Sciences. Mathematics. London: ISTE; Hoboken, NJ: John Wiley & Sons. 321-346 (2020). MSC: 18G80 16E45 18-02 × Cite Format Result Cite Review PDF Full Text: DOI
Castaño Domínguez, Alberto Dwork families and \(\mathcal D\)-modules. (English) Zbl 1451.14053 Rev. Mat. Iberoam. 35, No. 5, 1451-1484 (2019). MSC: 14F10 14J33 14D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Koppensteiner, Clemens; Talpo, Mattia Holonomic and perverse logarithmic D-modules. (English) Zbl 1476.14048 Adv. Math. 346, 510-545 (2019). Reviewer: Rolf Källström (Gävle) MSC: 14F10 14F43 16E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Teyssier, Jean-Baptiste A boundedness theorem for nearby slopes of holonomic \(\mathcal{D}\)-modules. (English) Zbl 1397.14034 Compos. Math. 152, No. 10, 2050-2070 (2016). Reviewer: Teresa Monteiro Fernandes (Lisboa) MSC: 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stäbler, Axel \(V\)-filtrations in positive characteristic and test modules. (English) Zbl 1352.13005 Trans. Am. Math. Soc. 368, No. 11, 7777-7808 (2016). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 13A35 14B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Teyssier, Jean-Baptiste Tensor product and irregularity for holonomic \(\mathcal D\)-modules. (Produit tensoriel et irrégularité pour les \(\mathcal D\)-modules holonomes.) (English. French summary) Zbl 1319.32008 C. R., Math., Acad. Sci. Paris 353, No. 5, 439-441 (2015). MSC: 32C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Castro-Jiménez, Francisco-Jesús; Takayama, Nobuki The computation of the logarithmic cohomology for plane curves. (English) Zbl 1186.14061 J. Algebra 322, No. 11, 3839-3851 (2009). Reviewer: Juan Gerardo Alcazar (Alcala da Henares) MSC: 14Q05 14F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schulze, Mathias A criterion for the logarithmic differential operators to be generated by vector fields. (English) Zbl 1129.32004 Proc. Am. Math. Soc. 135, No. 11, 3631-3640 (2007). Reviewer: Stanco Dimiev (Sofia) MSC: 32C38 13A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fiorot, Luisa On derived categories of differential complexes. (English) Zbl 1122.18006 J. Algebra 312, No. 1, 362-376 (2007). MSC: 18E30 32C38 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Castro-Jiménez, F. J.; Ucha-Enríquez, J. M. Gröbner bases and logarithmic \(\mathcal D\)-modules. (English) Zbl 1126.16015 J. Symb. Comput. 41, No. 3-4, 317-335 (2006). MSC: 16S32 32C38 13P10 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Hartillo-Hermoso, María Isabel Irregular hypergeometric systems associated with a singular monomial curve. (English) Zbl 1082.32004 Trans. Am. Math. Soc. 357, No. 11, 4633-4646 (2005). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 32C38 13P10 13N10 33C80 34M35 × Cite Format Result Cite Review PDF Full Text: DOI
Calderón Moreno, Francisco Javier; Narváez Macarro, Luis Duality and comparison for logarithmic de Rham complexes with respect to free divisors. (Dualité et comparaison pour les complexes de de Rham logarithmiques par rapport aux diviseurs libres.) (French) Zbl 1089.32003 Ann. Inst. Fourier 55, No. 1, 47-75 (2005). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 32C38 14F40 32S40 32S20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Montaner, Josep Àlvarez Some numerical invariants of local rings. (English) Zbl 1060.13006 Proc. Am. Math. Soc. 132, No. 4, 981-986 (2004). Reviewer: Ali Benhissi (Monastir) MSC: 13D45 13N10 13F25 × Cite Format Result Cite Review PDF Full Text: DOI
Hartillo Hermoso, María Isabel Slopes of hypergeometric systems of codimension one. (English) Zbl 1058.35008 Rev. Mat. Iberoam. 19, No. 2, 455-466 (2003). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 35A27 35A30 32C38 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Douai, Antoine; Sabbah, Claude Gauss-Manin systems, Brieskorn lattices and Frobenius structures. I. (English) Zbl 1079.32016 Ann. Inst. Fourier 53, No. 4, 1055-1116 (2003). Reviewer: Hossein Movasati (Tokyo) MSC: 32S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Grosse-Klönne, Elmar Finiteness of de Rham cohomology in rigid analysis. (English) Zbl 1057.14023 Duke Math. J. 113, No. 1, 57-91 (2002). MSC: 14F30 14G22 14F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Torrelli, Tristan Polynômes de Bernstein associés à une fonction sur une intersection complète à singularité isolée. (Bernstein polynomials associated with a function on an isolated complete intersection singularity). (French) Zbl 1015.32009 Ann. Inst. Fourier 52, No. 1, 221-244 (2002). Reviewer: Francisco Castro-Jiménez (Sevilla) MSC: 32C38 14B05 32S40 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
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
Narváez-Macarro, Luis; Gros, Michel \(p\)-adic evanescent cohomology: local calculi. (Cohomologie évanescente \(p\)-adique: calculs locaux.) (French) Zbl 1167.14309 Rend. Semin. Mat. Univ. Padova 104, 71-90 (2000). Reviewer: Christine Noot-Huyghe (Strasbourg) (MR1809351) MSC: 14F30 14F40 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
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
Daia, Liviu La transformation de Fourier pour les \({\mathcal D}\)-modules. (Fourier transform for \({\mathcal D}\)-modules). (French) Zbl 0963.35002 Ann. Inst. Fourier 50, No. 6, 1891-1944 (2000). Reviewer: Alberto Parmeggiani (Bologna) MSC: 35A27 32C38 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Virrion, Anne Dualité locale et holonomie pour les \({\mathcal D}\)-modules arithmétiques. (Local duality and holonomy for arithmetic \({\mathcal D}\)-modules). (French) Zbl 0955.14015 Bull. Soc. Math. Fr. 128, No. 1, 1-68 (2000). Reviewer: W.W.J.Hulsbergen (Haarlem) MSC: 14F30 14G22 14G20 14F10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Maaref, Fayçal On an irregular analogue of the Gauss-Manin connection. (Sur un analogue irrégulier de la connexion de Gauss-Manin.) (French) Zbl 0965.32020 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 8, No. 1, 117-124 (1999). Reviewer: Karlheinz Spallek (Bochum) MSC: 32J25 32S40 32S55 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Némethi, A.; Sabbah, C. Semicontinuity of the spectrum at infinity. (English) Zbl 0973.32014 Abh. Math. Semin. Univ. Hamb. 69, 25-35 (1999). Reviewer: Tobias Ekholm (Uppsala) MSC: 32S05 32S25 32S55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Calderón-Moreno, Francisco J. Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor. (English) Zbl 0955.14013 Ann. Sci. Éc. Norm. Supér. (4) 32, No. 5, 701-714 (1999). Reviewer: V.P.Kostov (Nice) MSC: 14F10 14F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Maaref, Fayçal Les connexions hypergéométriques et le théorème de linéarité de T. Terasoma. (Hypergeometric connexions and the linearity theorem of T. Terasoma). (French) Zbl 0890.14006 Ann. Inst. Fourier 47, No. 1, 49-67 (1997). Reviewer: U.N.Bhosle (Bombay) MSC: 14F10 53C07 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Belgrade, Ridha On the Kashiwara conjugation for a class of meromorphic irregular connections. (Sur la conjugaison de Kashiwara pour une classe de connexions méromorphes irrégulières.) (French) Zbl 0871.32005 Compos. Math. 104, No. 3, 279-292 (1996). Reviewer: Na Jisheng (Beijing) MSC: 32C38 32C35 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Briançon, J.; Granger, M.; Maisonobe, Ph. On relatively specialisable differential systems and the existence of relative functional equations. (Sur les systèmes différentiels relativement spécialisables et l’existence d’équations fonctionnelles relatives.) (French) Zbl 0867.32017 Bull. Soc. Math. Fr. 124, No. 2, 217-242 (1996). Reviewer: J.Stevens (Göteborg) MSC: 32S40 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Berthelot, Pierre Arithmetic \({\mathcal D}\)-modules. I: Differential operators of finite level. (\({\mathcal D}\)-modules arithmétiques. I: Opérateurs différentiels de niveau fini.) (French) Zbl 0886.14004 Ann. Sci. Éc. Norm. Supér. (4) 29, No. 2, 185-272 (1996). Reviewer: G.Faltings (Bonn) MSC: 14F10 14F30 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Malgrange, Bernard; Laurent, Yves Cycles évanescents, spécialisation et \({\mathcal D}\)-modules. (Nearby cycles, specialization and \({\mathcal D}\)-modules.). (French) Zbl 0837.35006 Ann. Inst. Fourier 45, No. 5, 1353-1405 (1995). MSC: 35A27 13D25 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Monteiro Fernandes, Teresa Microlocalisation of \(\mathcal{D}\)-modules along a submanifold. (English) Zbl 0836.58037 Bull. Soc. Math. Fr. 123, No. 2, 293-327 (1995). Reviewer: M.Muro (Yanagido) MSC: 58J15 35D10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Charbonnel, Jean-Yves Differential operators and invariant measures. (Opérateurs différentiels et mesures invariantes.) (French) Zbl 0792.17022 Compos. Math. 87, No. 3, 287-309 (1993). Reviewer: V.L.Popov (Moskva) MSC: 17B99 17B35 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Leichtnam, Eric The ramified linear Cauchy problem for given data with algebraic singularities. (Le problème de Cauchy ramifié linéaire pour des données à singularités algébriques.) (French) Zbl 0789.35009 Mém. Soc. Math. Fr., Nouv. Sér. 53, 130 p. (1993). Reviewer: J.Chrastina (Brno) MSC: 35A20 35C10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Briançon, Joël; Geandier, F.; Maisonobe, Philippe Deformation of an isolated singularity of a hypersurface and Bernstein polynomials. (Déformation d’une singularité isolée d’hypersurface et polynômes de Bernstein.) (French) Zbl 0807.32027 Bull. Soc. Math. Fr. 120, No. 1, 15-49 (1992). MSC: 32S25 14J17 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Monteiro Fernandes, Teresa Formulation of boundary values for regular systems. (Formulation des valeurs au bord pour les systèmes réguliers.) (French) Zbl 0754.58034 Compos. Math. 81, No. 2, 121-142 (1992). Reviewer: G.Warnecke (Stuttgart) MSC: 58J15 35S15 35A27 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Sabbah, Claude Lieu des pôles d’un système holonome d’équations aux différences finies. (Location of poles of a holonomic system of finite difference equations). (French) Zbl 0766.32011 Bull. Soc. Math. Fr. 120, No. 3, 371-396 (1992). Reviewer: J.Kajiwara (Fukuoka) MSC: 32C38 39A10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Sabbah, Claude Modules d’Alexander et \({\mathcal D}\)-modules. (Alexander modules and \({\mathcal D}\)-modules). (French) Zbl 0715.14007 Duke Math. J. 60, No. 3, 729-814 (1990). Reviewer: L.Narvaez-Macarro MSC: 14F10 14M15 32C38 × Cite Format Result Cite Review PDF Full Text: DOI