Edit Profile (opens in new tab) Sabbah, Claude Co-Author Distance Author ID: sabbah.claude Published as: Sabbah, Claude; Sabbah, C. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 91 Publications since 1978, including 5 Books and 8 Additional arXiv Preprints 28 Contributions as Editor · 3 Further Contributions Co-Authors: 34 Co-Authors with 63 Joint Publications 609 Co-Co-Authors all top 5 Co-Authors 56 single-authored 14 Plagne, Alain 11 Harinck, Pascale 10 Berline, Nicole 7 Monteiro Fernandes, Maria Teresa de Lemos 7 Yu, Jeng-Daw 3 Esnault, Hélène 3 Fiorot, Luisa 3 Fresán, Javier 3 Loeser, François 2 Bolibrukh, Andreĭ Andreevich 2 Dettweiler, Michael 2 Douai, Antoine 2 Henry, Jean-Pierre-Georges 2 Hertling, Claus 2 Hien, Marco 2 Kim, Bumsig 2 Maisonobe, Philippe 2 Mebkhout, Zoghman 2 Saito, Morihiko 1 Angeniol, Bernard 1 Audin, Michèle 1 Barlet, Daniel 1 Bertrand, Daniel 1 Biane, Philippe 1 Bost, Jean-Benoît 1 Broué, Isabelle 1 Buchweitz, Ragnar-Olaf 1 Ciocan-Fontanine, Ionuţ 1 Colmez, Pierre 1 D’Agnolo, Andrea 1 Demailly, Jean-Pierre 1 Dimca, Alexandru 1 Elzein, Fouad 1 Enriquez, Benjamin 1 Giusti, Marc 1 Greuel, Gert-Martin 1 Hindry, Marc 1 Langevin, Rémi 1 Lê Dûng Tráng 1 Lejeune-Jalabert, Monique 1 Lin, Jiezhu 1 Maaref, Fayçal 1 Merle, Michel 1 Mitschi, Claude 1 Mochizuki, Takuro 1 Morando, Giovanni 1 Narváez-Macarro, Luis 1 Némethi, András 1 Nitsure, Nitin 1 Schäfke, Reinhard 1 Schnell, Christian 1 Sevenheck, Christian 1 Teissier, Bernard 1 Varouchas, Jean all top 5 Serials 5 Annales de l’Institut Fourier 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Compositio Mathematica 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Travaux en Cours 3 Journal of Singularities 2 Duke Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Proceedings of the London Mathematical Society. Third Series 2 Tôhoku Mathematical Journal. Second Series 2 Documenta Mathematica 2 Portugaliae Mathematica. Nova Série 2 Journal of the Institute of Mathematics of Jussieu 2 Oberwolfach Reports 2 Astérisque 1 Russian Mathematical Surveys 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Collectanea Mathematica 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Nagoya Mathematical Journal 1 Rendiconti del Seminario Matematico della Università di Padova 1 IMRN. International Mathematics Research Notices 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Expositiones Mathematicae 1 Izvestiya: Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Moscow Mathematical Journal 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Lecture Notes in Mathematics 1 IRMA Lectures in Mathematics and Theoretical Physics 1 Algebra & Number Theory 1 Forum of Mathematics, Sigma 1 Algebraic Geometry 1 Épijournal de Géométrie Algébrique. EPIGA 1 Universitext 1 Tunisian Journal of Mathematics 1 Savoirs Actuels 1 Portugaliae Mathematica all top 5 Fields 85 Several complex variables and analytic spaces (32-XX) 69 Algebraic geometry (14-XX) 30 Ordinary differential equations (34-XX) 26 General and overarching topics; collections (00-XX) 13 Partial differential equations (35-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Differential geometry (53-XX) 7 Number theory (11-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functional analysis (46-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Quantum theory (81-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 869 times in 521 Documents Cited by ▼ Year ▼ Proximité évanescente. II: Equations fonctionnelles pour plusieurs fonctions analytiques. (Vanishing neighborhoods. II: Functional equations for several analytic functions). Zbl 0632.32006 Sabbah, C. 47 1987 Proximité évanescente. I: La structure polaire d’un \({\mathcal D}\)- modules. (Vanishing neighborhood. I: The polar structure of \({\mathcal D}\)- modules). Zbl 0622.32012 Sabbah, C. 41 1987 Differential systems. The formalism of the six Grothendieck operations for coherent \(D_X\)-modules). (Systèmes différentiels. Le formalisme des six opérations de Grothendieck pour les \(D_X\)-modules cohérents.) Zbl 0686.14020 Mebkhout, Z. 41 1989 Isomonodromic deformations and Frobenius manifolds. An introduction. Transl. from the French. Zbl 1131.14004 Sabbah, Claude 38 2007 Gauss-Manin systems, Brieskorn lattices and Frobenius structures. I. Zbl 1079.32016 Douai, Antoine; Sabbah, Claude 38 2003 Polarizable twistor \(\mathcal D\)-modules. Zbl 1085.32014 Sabbah, Claude 35 2005 Quelques remarques sur la géométrie des espaces conormaux. (Some remarks on the geometry of conormal spaces). Zbl 0598.32011 Sabbah, C. 33 1985 Sur la condition de Thom stricte pour un morphisme analytique complexe. Zbl 0551.32012 Henry, J. P.; Merle, M.; Sabbah, C. 30 1984 Hypergeometric periods for a tame polynomial. Zbl 1113.14011 Sabbah, Claude 29 2006 D-modules et cycles évanescents (d’après B. Malgrange et M. Kashiwara). (D-modules and vanishing cycles (following B. Malgrange and M. Kashiwara)). Zbl 0623.32013 Sabbah, C. 28 1987 Période hypergéométrique pour un polynôme modéré. (Hypergeometric period for a tame polynomial.) Zbl 0967.32028 Sabbah, Claude 26 1999 Gauss-Manin systems, Brieskorn lattices and Frobenius structures. II. Zbl 1079.32017 Douai, Antoine; Sabbah, Claude 26 2004 Topological computation of local cohomology multiplicities. Zbl 0940.13015 García López, R.; Sabbah, C. 25 1998 Finite difference equations and determinants of integrals of multiform functions. (Equations aux différences finies et déterminants d’intégrales de fonctions multiformes.) Zbl 0760.39001 Loeser, François; Sabbah, Claude 22 1991 The abelian/nonabelian correspondence and Frobenius manifolds. Zbl 1164.14012 Ciocan-Fontanine, Ionuţ; Kim, Bumsig; Sabbah, Claude 21 2008 Differential equations with irregular singular points and Stokes phenomenon in dimension 2. (Équations différentielles à points singuliers irréguliers et phénomène de Stokes en dimension 2.) Zbl 0947.32005 Sabbah, Claude 21 2000 Monodromy at infinity and Fourier transform. Zbl 0920.14003 Sabbah, Claude 21 1997 An explicit stationary phase formula for the local formal Fourier-Laplace transform. Zbl 1162.32018 Sabbah, Claude 21 2008 Frobenius manifolds: Isomonodromic deformations and infinitesimal period mappings. Zbl 0904.32009 Sabbah, Claude 19 1998 Introduction to Stokes structures. Zbl 1260.34002 Sabbah, Claude 19 2013 Harmonic metrics and connections with irregular singularities. Zbl 0947.32019 Sabbah, Claude 17 1999 Isomonodromic deformations and Frobenius manifolds. (Déformations isomonodromiques et variétés de Frobenius.) Zbl 1101.14001 Sabbah, Claude 17 2002 Modules d’Alexander et \({\mathcal D}\)-modules. (Alexander modules and \({\mathcal D}\)-modules). Zbl 0715.14007 Sabbah, Claude 17 1990 Semicontinuity of the spectrum at infinity. Zbl 0973.32014 Némethi, A.; Sabbah, C. 13 1999 Hodge theory of the middle convolution. Zbl 1307.14015 Dettweiler, Michael; Sabbah, Claude 13 2013 Dwork cohomology and algebraic \(\mathcal D\)-modules. Zbl 0985.14007 Dimca, Alexandru; Maaref, Fayçal; Sabbah, Claude; Saito, Morihiko 12 2000 Fourier-Laplace transform of a variation of polarized complex Hodge structure. Zbl 1155.32012 Sabbah, Claude 12 2008 \(E_1\)-degeneration of the irregular Hodge filtration. Zbl 1453.32010 Esnault, Hélène; Sabbah, Claude; Yu, Jeng-Daw 11 2017 Differential equations with irregular singular points in dimension two. (Équations différentielles à points singuliers irréguliers en dimension 2.) Zbl 0803.32005 Sabbah, Claude 10 1993 Introduction to algebraic theory of linear systems of differential equations. Zbl 0841.14014 Sabbah, Claude 9 1993 Holonomic systems of \(q\)-difference equations. (Systèmes holonomes d’équations aux \(q\)-différences.) Zbl 0794.33012 Sabbah, Claude 9 1993 On the irregular Hodge filtration of exponentially twisted mixed Hodge modules. Zbl 1319.14028 Sabbah, Claude; Yu, Jeng-Daw 9 2015 Morphismes analytiques stratifiés sans éclatement et cycles évanescents. Zbl 0542.32005 Sabbah, C. 8 1983 On the comparison theorem for elementary irregular \(\mathcal {D}\)-modules. Zbl 0858.32013 Sabbah, Claude 8 1996 On a twisted de Rham complex. Zbl 0947.14007 Sabbah, Claude 8 1999 Topological computation of some Stokes phenomena on the affine line. (Calcul topologique de certains phénomènes de Stokes sur la droite affine.) Zbl 1505.14019 D’Agnolo, Andrea; Hien, Marco; Morando, Giovanni; Sabbah, Claude 8 2020 Irregular Hodge theory. Zbl 1422.14003 Sabbah, Claude 8 2018 Fourier-Laplace transform of a variation of polarized complex Hodge structure. II. Zbl 1264.14011 Sabbah, Claude 7 2010 Caractérisation des \(\mathcal D\)-modules hypergéométriques irréductibles sur le tore. (Characterization of irreducible \(\mathcal D\)- modules on the torus). Zbl 0753.14015 Loeser, François; Sabbah, Claude 7 1991 Polynômes de Bernstein-Sato à plusieurs variables. (Bernstein-Sato polynomials in several complex variables). Zbl 0634.32003 Sabbah, C. 6 1987 Coherent and holonomic \(D\)-modules. Summer school of the CIMPA ‘Elements of the theory of differential systems’, August-September 1990, Nice, France. (\(D\)-modules cohérents et holonomes. Cours d’été du CIMPA ’Éléments de la théorie des systèmes différentiels’, août et septembre 1990, Nice, France.) Zbl 0824.00033 6 1993 Examples of non-commutative Hodge structures. Zbl 1246.14019 Hertling, Claus; Sabbah, Claude 6 2011 Universal unfoldings of Laurent polynomials and \(tt^*\) structures. Zbl 1154.53055 Sabbah, Claude 6 2008 Lieu des pôles d’un système holonome d’équations aux différences finies. (Location of poles of a holonomic system of finite difference equations). Zbl 0766.32011 Sabbah, Claude 6 1992 Morphismes analytiques stratifiés sans éclatement et cycles évanescents. Zbl 0495.32005 Sabbah, Claude 5 1982 Monodromy at infinity and Fourier transform. II. Zbl 1259.14008 Sabbah, Claude 5 2006 Moduli of pre-\(\mathcal D\)-modules, perverse sheaves and the Riemann-Hilbert morphism. I. Zbl 0853.14004 Nitsure, Nitin; Sabbah, Claude 5 1996 On the de Rham complex of mixed twistor \(\mathcal{D}\)-modules. Zbl 1312.14059 Monteiro Fernandes, Teresa; Sabbah, Claude 5 2013 The local Laplace transform of an elementary irregular meromorphic connection. Zbl 1330.14012 Hien, Marco; Sabbah, Claude 5 2015 Hodge theory of Kloosterman connections. Zbl 1498.14019 Fresán, Javier; Sabbah, Claude; Yu, Jeng-Daw 5 2022 Quantum cohomology of the Grassmannian and alternate Thom-Sebastiani. Zbl 1151.53075 Kim, Bumsig; Sabbah, Claude 4 2008 Integrable deformations and degenerations of some irregular singularities. Zbl 1487.34168 Sabbah, Claude 4 2021 Riemann-Hilbert correspondence for mixed twistor \(\mathcal{D}\)-modules. Zbl 1440.14101 Monteiro Fernandes, Teresa; Sabbah, Claude 4 2019 Quadratic relations between periods of connections. Zbl 1518.14027 Fresán, Javier; Sabbah, Claude; Yu, Jeng-Daw 4 2023 Non-commutative Hodge structures. (Structures de Hodge non commutatives.) Zbl 1300.14011 Sabbah, Claude 4 2011 Some properties and applications of Brieskorn lattices. Zbl 1427.14022 Sabbah, Claude 4 2018 On the dynamics of matrix groups and arithmetic applications. Papers from the mathematical days X-UPS, Palaiseau, France, May 9–10, 2007. (Sur la dynamique des groupes de matrices et applications arithmétiques.) Zbl 1132.11002 3 2007 The Fourier-Laplace transform of irreducible regular differential systems on the Riemann sphere. Zbl 1084.32021 Sabbah, C. 3 2004 Caractérisation des \({\mathcal D}\)-modules hypergéométriques irréductibles sur le tore. II. (Characterization of irreducible hypergeometric \({\mathcal D}\)-modules on the torus. II). Zbl 0774.14017 Loeser, François; Sabbah, Claude 3 1992 A remark on the irregularity complex. Zbl 1371.32006 Sabbah, Claude 3 2017 Differential systems of pure Gaussian type. Zbl 1339.14011 Sabbah, C. 3 2016 Vanishing cycles and Hermitian duality. Zbl 1031.32007 Sabbah, C. 3 2002 Kontsevich’s conjecture on an algebraic formula for vanishing cycles of local systems. Zbl 1295.14012 Sabbah, Claude; Saito, Morihiko 3 2014 Wild Hodge theory and Hitchin-Kobayashi correspondence (after T. Mochizuki). (Théorie de Hodge et correspondance de Hitchin-Kobayashi sauvages (d’après T. Mochizuki).) Zbl 1312.14032 Sabbah, Claude 3 2013 Le type topologique éclaté d’une application analytique. Zbl 0559.32002 Sabbah, C. 2 1983 Erratum to: “Hodge theory of the middle convolution”. Zbl 1408.14036 Dettweiler, Michael; Sabbah, Claude 2 2018 Wild twistor \({\mathcal D}\)-modules. Zbl 1219.32013 Sabbah, Claude 2 2009 Séminaire sur les singularités. (Seminar on singularities). (Université Paris VII, 1976-1977). Zbl 0624.32001 2 1980 Relative Riemann-Hilbert correspondence in dimension one. Zbl 1448.32001 Monteiro Fernandes, Teresa; Sabbah, Claude 2 2017 The work of Andrey Bolibrukh on isomonodromic deformations. Zbl 1356.32003 Sabbah, Claude 2 2007 Quadratic relations between Bessel moments. Zbl 1521.32017 Fresán, Javier; Sabbah, Claude; Yu, Jeng-Daw 2 2023 Relative regular Riemann-Hilbert correspondence. Zbl 1473.14037 Fiorot, Luisa; Fernandes, Teresa Monteiro; Sabbah, Claude 2 2021 Flat meromorphic connections of Frobenius manifolds with tt\(^*\)-structure. Zbl 1235.53092 Lin, Jiezhu; Sabbah, Claude 1 2012 Fourier-Laplace transform of irreducible regular differential systems on the Riemann sphere. II. Zbl 1197.32010 Sabbah, Claude 1 2009 Mirror symmetry, Hodge theory and differential equations. Abstracts from the workshop held April 19–25, 2015. Zbl 1380.00091 1 2015 Tropical geometry. (Géométrie tropicale.) Zbl 1151.14001 1 2008 Hodge properties of Airy moments. Zbl 1516.14020 Sabbah, Claude; Yu, Jeng-Daw 1 2023 Irregular Hodge numbers of confluent hypergeometric differential equations. Zbl 1445.14021 Sabbah, Claude; Yu, Jeng-Daw 1 2019 Corrigendum to: “Relative regular Riemann-Hilbert correspondence”. Zbl 1482.14020 Fiorot, Luisa; Fernandes, Teresa Monteiro; Sabbah, Claude 1 2021 Quadratic relations between periods of connections. Zbl 1518.14027 Fresán, Javier; Sabbah, Claude; Yu, Jeng-Daw 4 2023 Quadratic relations between Bessel moments. Zbl 1521.32017 Fresán, Javier; Sabbah, Claude; Yu, Jeng-Daw 2 2023 Hodge properties of Airy moments. Zbl 1516.14020 Sabbah, Claude; Yu, Jeng-Daw 1 2023 Hodge theory of Kloosterman connections. Zbl 1498.14019 Fresán, Javier; Sabbah, Claude; Yu, Jeng-Daw 5 2022 Integrable deformations and degenerations of some irregular singularities. Zbl 1487.34168 Sabbah, Claude 4 2021 Relative regular Riemann-Hilbert correspondence. Zbl 1473.14037 Fiorot, Luisa; Fernandes, Teresa Monteiro; Sabbah, Claude 2 2021 Corrigendum to: “Relative regular Riemann-Hilbert correspondence”. Zbl 1482.14020 Fiorot, Luisa; Fernandes, Teresa Monteiro; Sabbah, Claude 1 2021 Topological computation of some Stokes phenomena on the affine line. (Calcul topologique de certains phénomènes de Stokes sur la droite affine.) Zbl 1505.14019 D’Agnolo, Andrea; Hien, Marco; Morando, Giovanni; Sabbah, Claude 8 2020 Riemann-Hilbert correspondence for mixed twistor \(\mathcal{D}\)-modules. Zbl 1440.14101 Monteiro Fernandes, Teresa; Sabbah, Claude 4 2019 Irregular Hodge numbers of confluent hypergeometric differential equations. Zbl 1445.14021 Sabbah, Claude; Yu, Jeng-Daw 1 2019 Irregular Hodge theory. Zbl 1422.14003 Sabbah, Claude 8 2018 Some properties and applications of Brieskorn lattices. Zbl 1427.14022 Sabbah, Claude 4 2018 Erratum to: “Hodge theory of the middle convolution”. Zbl 1408.14036 Dettweiler, Michael; Sabbah, Claude 2 2018 \(E_1\)-degeneration of the irregular Hodge filtration. Zbl 1453.32010 Esnault, Hélène; Sabbah, Claude; Yu, Jeng-Daw 11 2017 A remark on the irregularity complex. Zbl 1371.32006 Sabbah, Claude 3 2017 Relative Riemann-Hilbert correspondence in dimension one. Zbl 1448.32001 Monteiro Fernandes, Teresa; Sabbah, Claude 2 2017 Differential systems of pure Gaussian type. Zbl 1339.14011 Sabbah, C. 3 2016 On the irregular Hodge filtration of exponentially twisted mixed Hodge modules. Zbl 1319.14028 Sabbah, Claude; Yu, Jeng-Daw 9 2015 The local Laplace transform of an elementary irregular meromorphic connection. Zbl 1330.14012 Hien, Marco; Sabbah, Claude 5 2015 Mirror symmetry, Hodge theory and differential equations. Abstracts from the workshop held April 19–25, 2015. Zbl 1380.00091 1 2015 Kontsevich’s conjecture on an algebraic formula for vanishing cycles of local systems. Zbl 1295.14012 Sabbah, Claude; Saito, Morihiko 3 2014 Introduction to Stokes structures. Zbl 1260.34002 Sabbah, Claude 19 2013 Hodge theory of the middle convolution. Zbl 1307.14015 Dettweiler, Michael; Sabbah, Claude 13 2013 On the de Rham complex of mixed twistor \(\mathcal{D}\)-modules. Zbl 1312.14059 Monteiro Fernandes, Teresa; Sabbah, Claude 5 2013 Wild Hodge theory and Hitchin-Kobayashi correspondence (after T. Mochizuki). (Théorie de Hodge et correspondance de Hitchin-Kobayashi sauvages (d’après T. Mochizuki).) Zbl 1312.14032 Sabbah, Claude 3 2013 Flat meromorphic connections of Frobenius manifolds with tt\(^*\)-structure. Zbl 1235.53092 Lin, Jiezhu; Sabbah, Claude 1 2012 Examples of non-commutative Hodge structures. Zbl 1246.14019 Hertling, Claus; Sabbah, Claude 6 2011 Non-commutative Hodge structures. (Structures de Hodge non commutatives.) Zbl 1300.14011 Sabbah, Claude 4 2011 Fourier-Laplace transform of a variation of polarized complex Hodge structure. II. Zbl 1264.14011 Sabbah, Claude 7 2010 Wild twistor \({\mathcal D}\)-modules. Zbl 1219.32013 Sabbah, Claude 2 2009 Fourier-Laplace transform of irreducible regular differential systems on the Riemann sphere. II. Zbl 1197.32010 Sabbah, Claude 1 2009 The abelian/nonabelian correspondence and Frobenius manifolds. Zbl 1164.14012 Ciocan-Fontanine, Ionuţ; Kim, Bumsig; Sabbah, Claude 21 2008 An explicit stationary phase formula for the local formal Fourier-Laplace transform. Zbl 1162.32018 Sabbah, Claude 21 2008 Fourier-Laplace transform of a variation of polarized complex Hodge structure. Zbl 1155.32012 Sabbah, Claude 12 2008 Universal unfoldings of Laurent polynomials and \(tt^*\) structures. Zbl 1154.53055 Sabbah, Claude 6 2008 Quantum cohomology of the Grassmannian and alternate Thom-Sebastiani. Zbl 1151.53075 Kim, Bumsig; Sabbah, Claude 4 2008 Tropical geometry. (Géométrie tropicale.) Zbl 1151.14001 1 2008 Isomonodromic deformations and Frobenius manifolds. An introduction. Transl. from the French. Zbl 1131.14004 Sabbah, Claude 38 2007 On the dynamics of matrix groups and arithmetic applications. Papers from the mathematical days X-UPS, Palaiseau, France, May 9–10, 2007. (Sur la dynamique des groupes de matrices et applications arithmétiques.) Zbl 1132.11002 3 2007 The work of Andrey Bolibrukh on isomonodromic deformations. Zbl 1356.32003 Sabbah, Claude 2 2007 Hypergeometric periods for a tame polynomial. Zbl 1113.14011 Sabbah, Claude 29 2006 Monodromy at infinity and Fourier transform. II. Zbl 1259.14008 Sabbah, Claude 5 2006 Polarizable twistor \(\mathcal D\)-modules. Zbl 1085.32014 Sabbah, Claude 35 2005 Gauss-Manin systems, Brieskorn lattices and Frobenius structures. II. Zbl 1079.32017 Douai, Antoine; Sabbah, Claude 26 2004 The Fourier-Laplace transform of irreducible regular differential systems on the Riemann sphere. Zbl 1084.32021 Sabbah, C. 3 2004 Gauss-Manin systems, Brieskorn lattices and Frobenius structures. I. Zbl 1079.32016 Douai, Antoine; Sabbah, Claude 38 2003 Isomonodromic deformations and Frobenius manifolds. (Déformations isomonodromiques et variétés de Frobenius.) Zbl 1101.14001 Sabbah, Claude 17 2002 Vanishing cycles and Hermitian duality. Zbl 1031.32007 Sabbah, C. 3 2002 Differential equations with irregular singular points and Stokes phenomenon in dimension 2. (Équations différentielles à points singuliers irréguliers et phénomène de Stokes en dimension 2.) Zbl 0947.32005 Sabbah, Claude 21 2000 Dwork cohomology and algebraic \(\mathcal D\)-modules. Zbl 0985.14007 Dimca, Alexandru; Maaref, Fayçal; Sabbah, Claude; Saito, Morihiko 12 2000 Période hypergéométrique pour un polynôme modéré. (Hypergeometric period for a tame polynomial.) Zbl 0967.32028 Sabbah, Claude 26 1999 Harmonic metrics and connections with irregular singularities. Zbl 0947.32019 Sabbah, Claude 17 1999 Semicontinuity of the spectrum at infinity. Zbl 0973.32014 Némethi, A.; Sabbah, C. 13 1999 On a twisted de Rham complex. Zbl 0947.14007 Sabbah, Claude 8 1999 Topological computation of local cohomology multiplicities. Zbl 0940.13015 García López, R.; Sabbah, C. 25 1998 Frobenius manifolds: Isomonodromic deformations and infinitesimal period mappings. Zbl 0904.32009 Sabbah, Claude 19 1998 Monodromy at infinity and Fourier transform. Zbl 0920.14003 Sabbah, Claude 21 1997 On the comparison theorem for elementary irregular \(\mathcal {D}\)-modules. Zbl 0858.32013 Sabbah, Claude 8 1996 Moduli of pre-\(\mathcal D\)-modules, perverse sheaves and the Riemann-Hilbert morphism. I. Zbl 0853.14004 Nitsure, Nitin; Sabbah, Claude 5 1996 Differential equations with irregular singular points in dimension two. (Équations différentielles à points singuliers irréguliers en dimension 2.) Zbl 0803.32005 Sabbah, Claude 10 1993 Introduction to algebraic theory of linear systems of differential equations. Zbl 0841.14014 Sabbah, Claude 9 1993 Holonomic systems of \(q\)-difference equations. (Systèmes holonomes d’équations aux \(q\)-différences.) Zbl 0794.33012 Sabbah, Claude 9 1993 Coherent and holonomic \(D\)-modules. Summer school of the CIMPA ‘Elements of the theory of differential systems’, August-September 1990, Nice, France. (\(D\)-modules cohérents et holonomes. Cours d’été du CIMPA ’Éléments de la théorie des systèmes différentiels’, août et septembre 1990, Nice, France.) Zbl 0824.00033 6 1993 Lieu des pôles d’un système holonome d’équations aux différences finies. (Location of poles of a holonomic system of finite difference equations). Zbl 0766.32011 Sabbah, Claude 6 1992 Caractérisation des \({\mathcal D}\)-modules hypergéométriques irréductibles sur le tore. II. (Characterization of irreducible hypergeometric \({\mathcal D}\)-modules on the torus. II). Zbl 0774.14017 Loeser, François; Sabbah, Claude 3 1992 Finite difference equations and determinants of integrals of multiform functions. (Equations aux différences finies et déterminants d’intégrales de fonctions multiformes.) Zbl 0760.39001 Loeser, François; Sabbah, Claude 22 1991 Caractérisation des \(\mathcal D\)-modules hypergéométriques irréductibles sur le tore. (Characterization of irreducible \(\mathcal D\)- modules on the torus). Zbl 0753.14015 Loeser, François; Sabbah, Claude 7 1991 Modules d’Alexander et \({\mathcal D}\)-modules. (Alexander modules and \({\mathcal D}\)-modules). Zbl 0715.14007 Sabbah, Claude 17 1990 Differential systems. The formalism of the six Grothendieck operations for coherent \(D_X\)-modules). (Systèmes différentiels. Le formalisme des six opérations de Grothendieck pour les \(D_X\)-modules cohérents.) Zbl 0686.14020 Mebkhout, Z. 41 1989 Proximité évanescente. II: Equations fonctionnelles pour plusieurs fonctions analytiques. (Vanishing neighborhoods. II: Functional equations for several analytic functions). Zbl 0632.32006 Sabbah, C. 47 1987 Proximité évanescente. I: La structure polaire d’un \({\mathcal D}\)- modules. (Vanishing neighborhood. I: The polar structure of \({\mathcal D}\)- modules). Zbl 0622.32012 Sabbah, C. 41 1987 D-modules et cycles évanescents (d’après B. Malgrange et M. Kashiwara). (D-modules and vanishing cycles (following B. Malgrange and M. Kashiwara)). Zbl 0623.32013 Sabbah, C. 28 1987 Polynômes de Bernstein-Sato à plusieurs variables. (Bernstein-Sato polynomials in several complex variables). Zbl 0634.32003 Sabbah, C. 6 1987 Quelques remarques sur la géométrie des espaces conormaux. (Some remarks on the geometry of conormal spaces). Zbl 0598.32011 Sabbah, C. 33 1985 Sur la condition de Thom stricte pour un morphisme analytique complexe. Zbl 0551.32012 Henry, J. P.; Merle, M.; Sabbah, C. 30 1984 Morphismes analytiques stratifiés sans éclatement et cycles évanescents. Zbl 0542.32005 Sabbah, C. 8 1983 Le type topologique éclaté d’une application analytique. Zbl 0559.32002 Sabbah, C. 2 1983 Morphismes analytiques stratifiés sans éclatement et cycles évanescents. Zbl 0495.32005 Sabbah, Claude 5 1982 Séminaire sur les singularités. (Seminar on singularities). (Université Paris VII, 1976-1977). Zbl 0624.32001 2 1980 all cited Publications top 5 cited Publications all top 5 Cited by 517 Authors 31 Sabbah, Claude 12 Douai, Antoine 11 Sevenheck, Christian 10 Hertling, Claus 9 Iritani, Hiroshi 9 Mochizuki, Takuro 9 Núñez-Betancourt, Luis 8 Budur, Nero 8 Maxim, Laurentiu G. 8 Monteiro Fernandes, Maria Teresa de Lemos 8 Takeuchi, Kiyoshi 8 Yu, Jeng-Daw 7 Àlvarez Montaner, Josep 7 Loeser, François 6 Coates, Tom 6 D’Agnolo, Andrea 6 Guzzetti, Davide 6 Hien, Marco 6 Kashiwara, Masaki 6 Maisonobe, Philippe 6 Massey, David Bradley 6 Tibăr, Mihai-Marius 6 Wang, Botong 6 Wu, Lei 5 Cotti, Giordano 5 David, Liana 5 Dimca, Alexandru 5 Granger, Michel 5 Matsubara-Heo, Saiei-Jaeyeong 5 Oaku, Toshinori 5 Reichelt, Thomas 5 Saito, Morihiko 4 Aluffi, Paolo 4 Aomoto, Kazuhiko 4 Bahloul, Rouchdi 4 Barlet, Daniel 4 Briançon, Joël 4 Castro-Jiménez, Francisco Jesús 4 Ciocan-Fontanine, Ionuţ 4 Kedlaya, Kiran Sridhara 4 Laurent, Yves 4 Liu, Yongqiang 4 Lőrincz, András Cristian 4 Mann, Etienne 4 Mano, Toshiyuki 4 Merle, Michel 4 Némethi, András 4 Roucairol, Céline 4 Schürmann, Jörg 4 Takayama, Nobuki 4 Torrelli, Tristan 4 van der Veer, Robin 4 Walther, Uli 4 Witt, Emily E. 3 Arsie, Alessandro 3 Castaño Domínguez, Alberto 3 de Cataldo, Mark Andrea A. 3 Esnault, Hélène 3 Fiorot, Luisa 3 Fresán, Javier 3 Galkin, Sergeĭ 3 Garoufalidis, Stavros 3 Henry, Jean-Pierre-Georges 3 Hernández, Daniel J. 3 Hiroe, Kazuki 3 Ito, Yohei 3 Jakob, Konstantin 3 Kato, Mitsuo 3 Kim, Bumsig 3 Krämer, Thomas 3 Li, Si 3 Libgober, Anatoly S. 3 Lorenzoni, Paolo 3 Movasati, Hossein 3 Mustaţă, Mircea 3 Narváez-Macarro, Luis 3 Paunescu, Laurentiu 3 Raibaut, Michel 3 Saito, Takahiro 3 Sato, Fumihiro 3 Schapira, Pierre 3 Seade, Jose Antonio 3 Sekiguchi, Jiro 3 Shiraishi, Yuuki 3 Szabo, Szilard 3 Takahashi, Atsushi 3 Teyssier, Jean-Baptiste 3 Yger, Alain 3 Zhou, Peng 2 André, Yves 2 Assi, Abdallah 2 Balnojan, Sven 2 Bath, Daniel 2 Blickle, Manuel 2 Boalch, Philip P. 2 Brasselet, Jean-Paul 2 Buryak, Alexandr Y. 2 Callejas-Bedregal, Roberto 2 Campillo, Antonio 2 Ciobotaru, Corina ...and 417 more Authors all top 5 Cited in 135 Serials 29 Advances in Mathematics 26 Annales de l’Institut Fourier 20 Publications of the Research Institute for Mathematical Sciences, Kyoto University 14 Communications in Mathematical Physics 14 Compositio Mathematica 14 Duke Mathematical Journal 13 Journal of Geometry and Physics 13 Bulletin de la Société Mathématique de France 13 Journal of Algebra 13 Transactions of the American Mathematical Society 12 Mathematische Zeitschrift 11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 11 Journal of Pure and Applied Algebra 11 Mathematische Annalen 11 Selecta Mathematica. New Series 10 Inventiones Mathematicae 10 Tôhoku Mathematical Journal. Second Series 9 Manuscripta Mathematica 9 Nagoya Mathematical Journal 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Journal of Symbolic Computation 6 Letters in Mathematical Physics 6 Journal für die Reine und Angewandte Mathematik 6 Rendiconti del Seminario Matematico della Università di Padova 6 Journal of High Energy Physics 6 Forum of Mathematics, Sigma 5 Publications Mathématiques 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Journal of Algebraic Geometry 5 Bulletin des Sciences Mathématiques 4 Mathematische Nachrichten 4 Memoirs of the American Mathematical Society 4 Proceedings of the Japan Academy. Series A 4 Geometry & Topology 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Bulletin of the London Mathematical Society 3 Journal of Functional Analysis 3 Journal of the London Mathematical Society. Second Series 3 Michigan Mathematical Journal 3 Topology and its Applications 3 Advances in Applied Mathematics 3 International Journal of Mathematics 3 Annals of Mathematics. Second Series 3 Journal of the European Mathematical Society (JEMS) 3 Journal of the Institute of Mathematics of Jussieu 3 Kyoto Journal of Mathematics 2 Communications in Algebra 2 Nuclear Physics. B 2 Beiträge zur Algebra und Geometrie 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Geometriae Dedicata 2 Journal of Differential Equations 2 Journal of the Mathematical Society of Japan 2 Proceedings of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Experimental Mathematics 2 Journal of Algebraic Combinatorics 2 Documenta Mathematica 2 Revista Matemática Complutense 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Oberwolfach Reports 2 The Journal of Prime Research in Mathematics 2 Mathematics in Computer Science 2 Algebra & Number Theory 2 Japanese Journal of Mathematics. 3rd Series 2 Random Matrices: Theory and Applications 2 Journal de l’École Polytechnique – Mathématiques 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Arkiv för Matematik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Mathematical Bulletin 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Hiroshima Mathematical Journal 1 Kodai Mathematical Journal 1 Kybernetika 1 Osaka Journal of Mathematics 1 Tokyo Journal of Mathematics 1 Tsukuba Journal of Mathematics 1 Acta Applicandae Mathematicae 1 Revista Matemática Iberoamericana 1 Science in China. Series A 1 Multidimensional Systems and Signal Processing 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Journal of Knot Theory and its Ramifications 1 Calculus of Variations and Partial Differential Equations 1 Journal de Théorie des Nombres de Bordeaux 1 Kyushu Journal of Mathematics 1 Opuscula Mathematica ...and 35 more Serials all top 5 Cited in 43 Fields 331 Algebraic geometry (14-XX) 266 Several complex variables and analytic spaces (32-XX) 69 Differential geometry (53-XX) 62 Ordinary differential equations (34-XX) 48 Commutative algebra (13-XX) 33 Quantum theory (81-XX) 32 Number theory (11-XX) 29 Global analysis, analysis on manifolds (58-XX) 27 Partial differential equations (35-XX) 26 Special functions (33-XX) 22 Associative rings and algebras (16-XX) 22 Manifolds and cell complexes (57-XX) 15 Topological groups, Lie groups (22-XX) 12 Nonassociative rings and algebras (17-XX) 12 Category theory; homological algebra (18-XX) 10 Field theory and polynomials (12-XX) 9 Group theory and generalizations (20-XX) 9 Algebraic topology (55-XX) 8 Combinatorics (05-XX) 8 Functions of a complex variable (30-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Difference and functional equations (39-XX) 8 Computer science (68-XX) 7 Convex and discrete geometry (52-XX) 6 Integral transforms, operational calculus (44-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 \(K\)-theory (19-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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