Edit Profile Mebkhout, Zoghman Compute Distance To: Compute Author ID: mebkhout.zoghman Published as: Mebhkout, Zoghman; Mebkhout, Z.; Mebkhout, Zoghman External Links: MGP · Wikidata Documents Indexed: 51 Publications since 1975, including 2 Books all top 5 Co-Authors 31 single-authored 9 Christol, Gilles 5 Narváez-Macarro, Luis 2 Laurent, Yves 2 Lê Dûng Tráng 1 Arabia, Alberto 1 Maisonobe, Philippe 1 Schikhof, Wilhelmus Hendricus all top 5 Serials 3 Annales de l’Institut Fourier 3 Revista Matemática Iberoamericana 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Compositio Mathematica 2 Inventiones Mathematicae 2 Annals of Mathematics. Second Series 1 Arkiv för Matematik 1 American Journal of Mathematics 1 Publications Mathématiques 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Scandinavica 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Séminaire d’Analyse. Université Blaise Pascal. Clermont II 1 Annales Mathématiques Blaise Pascal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris all top 5 Fields 36 Algebraic geometry (14-XX) 29 Several complex variables and analytic spaces (32-XX) 14 Field theory and polynomials (12-XX) 8 Partial differential equations (35-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Category theory; homological algebra (18-XX) 5 Ordinary differential equations (34-XX) 4 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 40 Publications have been cited 360 times in 203 Documents Cited by ▼ Year ▼ Une équivalence de catégories. Une autre équivalence de catégories. Zbl 0566.32021Mebkhout, Z. 39 1984 Systèmes différentiels. Le formalisme des six opérations de Grothendieck pour les \(D_ X\)-modules cohérents. (Differential systems. The formalism of the six Grothendieck operations for coherent \(D_ X\)-modules). Zbl 0686.14020Mebkhout, Z. 32 1989 On the index theorem for \(p\)-adic differential equations. III. Zbl 1078.12500Christol, G.; Mebkhout, Z. 23 2000 Analogue \(p\)-adique du théorème de Turrittin et le théorème de la monodromie \(p\)-adique. Zbl 1071.12004Mebkhout, Z. 20 2002 On the index theorem for \(p\)-adic differential equations. IV. Zbl 1078.12501Christol, G.; Mebkhout, Z. 20 2001 On the index theorem for \(p\)-adic differential equations. II. Zbl 0929.12003Christol, G.; Mebkhout, Z. 19 1997 On the finiteness theorem of the \(p\)-adic cohomology of a non-singular affine variety. Zbl 0926.14007Mebkhout, Z. 18 1997 Theory of the Bernstein-Sato polynomial for Tate and Dwork-Monsky-Washnitzer algebras. Zbl 0765.14009Mebkhout, Z.; Narváez-Macarro, L. 17 1991 Sur les coefficients de De Rham-Grothendieck des variétés algébriques. (On the De Rham-Grothendieck coefficients of algebraic varieties). Zbl 0727.14011Mebkhout, Z.; Narvaez-Macarro, L. 17 1990 Algebraic slopes and analytic slopes of a \({\mathcal D}\)-module. Zbl 0944.14007Laurent, Yves; Mebkhout, Zoghman 13 1999 Le théorème de comparaison entre cohomologies de de Rham d’une variété algébrique complexe et le théorème d’existence de Riemann. (The comparison theorem between de Rham cohomologies and the Riemann existence theorem). Zbl 0709.14015Mebkhout, Zoghman 13 1989 Local cohomology of analytic spaces. Zbl 0372.32007Mebkhout, Zoghman 13 1977 Positivity theorem of the irregularity for \({\mathcal D}_X\)-modules). Zbl 0731.14007Mebkhout, Zoghman 12 1990 Équations différentielles \(p\)-adiques et coefficients \(p\)-adiques sur les courbes. (\(p\)-adic differential equations and \(p\)-adic coefficients over curves). Zbl 1031.12004Christol, Gilles; Mebkhout, Zoghman 10 2002 On the index theorem for \(p\)-adic differential equations. I. Zbl 0834.12005Christol, G.; Mebkhout, Z. 10 1993 Théoremes de bidualité locale pour les \(D_ x\)-modules holonomes. Zbl 0525.32025Mebkhout, Zoghman 9 1982 The positivity theorem, the comparison theorem and Riemann’s existence theorem. Zbl 1082.32006Mebkhout, Zoghman 7 2004 Variétés caractéristiques et variétés polaires. (Characteristic varieties and polar varieties). Zbl 0566.32020Lê Dũng Tráng; Mebkhout, Zoghman 7 1983 The comparison theorem for vanishing cycles. Zbl 1105.14017Maisonobe, Philippe; Mebkhout, Zoghman 5 2004 Image inverse d’un \(\mathcal D\)-module et polygone de Newton. (Inverse image of a \(\mathcal D\)-module and Newton polygon). Zbl 0993.35007Laurent, Yves; Mebkhout, Zoghman 5 2002 Cohomologie locale des espaces analytiques complexes. Zbl 0455.32006Mebkhout, Zoghman 5 1979 Théoreme de dualité pour les \(\mathcal D_x\)-modules cohérents. Zbl 0409.32006Mebkhout, Zoghman 5 1977 The continuity theorem of the division in the ring of differential operators. Zbl 0910.32011Mebkhout, Zoghman; Narváez Macarro, Luis 4 1998 The constructibility theorem of Kashiwara. Zbl 0847.32012Mebkhout, Zoghman; Narváez-Macarro, Luis 4 1993 Sur le problème de Hilbert-Riemann. Zbl 0444.32003Mebkhout, Zoghman 4 1980 Sur le problème de Hilbert-Riemann. Zbl 0431.32009Mebkhout, Zoghman 4 1980 Infinitésimal \(p\)-adic topos of a smooth scheme. I. Zbl 1220.14017Arabia, Alberto; Mebkhout, Zoghman 3 2010 The total symbol theorem of a \(p\)-adic differential operator. Zbl 1213.14042Mebkhout, Zoghman; Narváez Macarro, Luis 3 2010 The total symbol theorem of a \(p\)-adic differential echelon operator \(h\geq 0\). Zbl 1220.14018Mebkhout, Zoghman 2 2011 The theory of \(p\)-adic differential equations and the \(p\)-adic monodromy theorem. Zbl 1113.12004Mebkhout, Zoghman 2 2003 The Newton polygon of a \({\mathcal D}_ X\)-module. Zbl 0853.58095Mebkhout, Z. 2 1996 Sur le théorème de semi-continuité de l’irrégularité des équations différentielles. (On the semi-continuity theorem of irregularity of differential equations). Zbl 0592.32009Mebkhout, Z. 2 1985 Introduction to linear differential systems. Zbl 0521.14006Lê Dũng Tráng; Mebkhout, Zoghman 2 1983 Théorèmes de dualité globale pour les D-modules cohérents. Zbl 0491.32006Mebkhout, Z. 2 1982 Cohomologie locale d’une hypersurface. Zbl 0391.32006Mebkhout, Zoghman 2 1978 Frobenius structures and monodromy exponents of \(p\)-adic differential equations. Zbl 1175.12002Mebkhout, Zoghman 1 2008 \(p\)-adic differential equations. Zbl 0994.12002Christol, G.; Mebkhout, Z. 1 2000 An application of \(c\)-compactness. Zbl 1053.46055Christol, G.; Mebkhout, Z.; Schikhof, W. H. 1 1999 Topological \(p\)-adic vector spaces and index theory. Zbl 0838.47054Christol, Gilles; Mebkhout, Zoghman 1 1995 The Poincaré-Serre-Verdier duality. Zbl 0413.32005Mebkhout, Zoghman 1 1979 The total symbol theorem of a \(p\)-adic differential echelon operator \(h\geq 0\). Zbl 1220.14018Mebkhout, Zoghman 2 2011 Infinitésimal \(p\)-adic topos of a smooth scheme. I. Zbl 1220.14017Arabia, Alberto; Mebkhout, Zoghman 3 2010 The total symbol theorem of a \(p\)-adic differential operator. Zbl 1213.14042Mebkhout, Zoghman; Narváez Macarro, Luis 3 2010 Frobenius structures and monodromy exponents of \(p\)-adic differential equations. Zbl 1175.12002Mebkhout, Zoghman 1 2008 The positivity theorem, the comparison theorem and Riemann’s existence theorem. Zbl 1082.32006Mebkhout, Zoghman 7 2004 The comparison theorem for vanishing cycles. Zbl 1105.14017Maisonobe, Philippe; Mebkhout, Zoghman 5 2004 The theory of \(p\)-adic differential equations and the \(p\)-adic monodromy theorem. Zbl 1113.12004Mebkhout, Zoghman 2 2003 Analogue \(p\)-adique du théorème de Turrittin et le théorème de la monodromie \(p\)-adique. Zbl 1071.12004Mebkhout, Z. 20 2002 Équations différentielles \(p\)-adiques et coefficients \(p\)-adiques sur les courbes. (\(p\)-adic differential equations and \(p\)-adic coefficients over curves). Zbl 1031.12004Christol, Gilles; Mebkhout, Zoghman 10 2002 Image inverse d’un \(\mathcal D\)-module et polygone de Newton. (Inverse image of a \(\mathcal D\)-module and Newton polygon). Zbl 0993.35007Laurent, Yves; Mebkhout, Zoghman 5 2002 On the index theorem for \(p\)-adic differential equations. IV. Zbl 1078.12501Christol, G.; Mebkhout, Z. 20 2001 On the index theorem for \(p\)-adic differential equations. III. Zbl 1078.12500Christol, G.; Mebkhout, Z. 23 2000 \(p\)-adic differential equations. Zbl 0994.12002Christol, G.; Mebkhout, Z. 1 2000 Algebraic slopes and analytic slopes of a \({\mathcal D}\)-module. Zbl 0944.14007Laurent, Yves; Mebkhout, Zoghman 13 1999 An application of \(c\)-compactness. Zbl 1053.46055Christol, G.; Mebkhout, Z.; Schikhof, W. H. 1 1999 The continuity theorem of the division in the ring of differential operators. Zbl 0910.32011Mebkhout, Zoghman; Narváez Macarro, Luis 4 1998 On the index theorem for \(p\)-adic differential equations. II. Zbl 0929.12003Christol, G.; Mebkhout, Z. 19 1997 On the finiteness theorem of the \(p\)-adic cohomology of a non-singular affine variety. Zbl 0926.14007Mebkhout, Z. 18 1997 The Newton polygon of a \({\mathcal D}_ X\)-module. Zbl 0853.58095Mebkhout, Z. 2 1996 Topological \(p\)-adic vector spaces and index theory. Zbl 0838.47054Christol, Gilles; Mebkhout, Zoghman 1 1995 On the index theorem for \(p\)-adic differential equations. I. Zbl 0834.12005Christol, G.; Mebkhout, Z. 10 1993 The constructibility theorem of Kashiwara. Zbl 0847.32012Mebkhout, Zoghman; Narváez-Macarro, Luis 4 1993 Theory of the Bernstein-Sato polynomial for Tate and Dwork-Monsky-Washnitzer algebras. Zbl 0765.14009Mebkhout, Z.; Narváez-Macarro, L. 17 1991 Sur les coefficients de De Rham-Grothendieck des variétés algébriques. (On the De Rham-Grothendieck coefficients of algebraic varieties). Zbl 0727.14011Mebkhout, Z.; Narvaez-Macarro, L. 17 1990 Positivity theorem of the irregularity for \({\mathcal D}_X\)-modules). Zbl 0731.14007Mebkhout, Zoghman 12 1990 Systèmes différentiels. Le formalisme des six opérations de Grothendieck pour les \(D_ X\)-modules cohérents. (Differential systems. The formalism of the six Grothendieck operations for coherent \(D_ X\)-modules). Zbl 0686.14020Mebkhout, Z. 32 1989 Le théorème de comparaison entre cohomologies de de Rham d’une variété algébrique complexe et le théorème d’existence de Riemann. (The comparison theorem between de Rham cohomologies and the Riemann existence theorem). Zbl 0709.14015Mebkhout, Zoghman 13 1989 Sur le théorème de semi-continuité de l’irrégularité des équations différentielles. (On the semi-continuity theorem of irregularity of differential equations). Zbl 0592.32009Mebkhout, Z. 2 1985 Une équivalence de catégories. Une autre équivalence de catégories. Zbl 0566.32021Mebkhout, Z. 39 1984 Variétés caractéristiques et variétés polaires. (Characteristic varieties and polar varieties). Zbl 0566.32020Lê Dũng Tráng; Mebkhout, Zoghman 7 1983 Introduction to linear differential systems. Zbl 0521.14006Lê Dũng Tráng; Mebkhout, Zoghman 2 1983 Théoremes de bidualité locale pour les \(D_ x\)-modules holonomes. Zbl 0525.32025Mebkhout, Zoghman 9 1982 Théorèmes de dualité globale pour les D-modules cohérents. Zbl 0491.32006Mebkhout, Z. 2 1982 Sur le problème de Hilbert-Riemann. Zbl 0444.32003Mebkhout, Zoghman 4 1980 Sur le problème de Hilbert-Riemann. Zbl 0431.32009Mebkhout, Zoghman 4 1980 Cohomologie locale des espaces analytiques complexes. Zbl 0455.32006Mebkhout, Zoghman 5 1979 The Poincaré-Serre-Verdier duality. Zbl 0413.32005Mebkhout, Zoghman 1 1979 Cohomologie locale d’une hypersurface. Zbl 0391.32006Mebkhout, Zoghman 2 1978 Local cohomology of analytic spaces. Zbl 0372.32007Mebkhout, Zoghman 13 1977 Théoreme de dualité pour les \(\mathcal D_x\)-modules cohérents. Zbl 0409.32006Mebkhout, Zoghman 5 1977 all cited Publications top 5 cited Publications all top 5 Cited by 166 Authors 12 Mebkhout, Zoghman 10 Castro-Jiménez, Francisco Jesús 8 Sabbah, Claude 7 Fernández-Fernández, María-Cruz 7 Narváez-Macarro, Luis 7 Saito, Morihiko 6 Kedlaya, Kiran Sridhara 6 Maisonobe, Philippe 4 Abe, Tomoyuki 4 Caro, Daniel 4 Chiarellotto, Bruno 4 Crew, Richard M. 4 Granger, Michel 4 Kashiwara, Masaki 4 Torrelli, Tristan 4 Vilonen, Kari 4 Walther, Uli 3 André, Yves 3 Briançon, Joël 3 Casian, Luis G. 3 Christol, Gilles 3 Gros, Michel 3 Hien, Marco 3 Huyghe, Christine 3 Monteiro Fernandes, Maria Teresa de Lemos 3 Nang, Philibert 3 Pulita, Andrea 3 Shiho, Atsushi 3 Takayama, Nobuki 2 Aluffi, Paolo 2 Àlvarez Montaner, Josep 2 Andronikof, Emmanuel 2 Arabia, Alberto 2 Assi, Abdallah 2 Berger, Laurent 2 Berthelot, Pierre 2 Calderón Moreno, Francisco Javier 2 Garnier, Lionel 2 Hartillo-Hermoso, María Isabel 2 Kawai, Takahiro 2 Laurent, Yves 2 Levandovskyy, Viktor 2 Maaref, Fayçal 2 Martín-Morales, Jorge 2 Massey, David Bradley 2 Núñez-Betancourt, Luis 2 Perez-Garcia, Cristina 2 Roucairol, Céline 2 Schulze, Mathias 2 Teyssier, Jean-Baptiste 2 Tsuzuki, Nobuo 2 Ucha-Enríquez, José María 1 Alba-Sarria, L. 1 Alessandrini, David 1 Alonso Tarrío, Leovigildo M. 1 Andres, Daniel 1 Ardakov, Konstantin 1 Bahloul, Rouchdi 1 Baldassarri, Francesco 1 Barlet, Daniel 1 Bavula, Vladimir V. 1 Belgrade, Ridha 1 Björk, Jan-Erik 1 Blanco, Guillem 1 Brasselet, Jean-Paul 1 Brickenstein, Michael 1 Brodzki, Jacek 1 Callejas-Bedregal, Roberto 1 Caro-Tuesta, N. 1 Charbonnel, Jean-Yves 1 Chemla, Sophie 1 Cisinski, Denis-Charles 1 Collingwood, David H. 1 Connes, Alain 1 Coutinho, S. C. 1 D’Agnolo, Andrea 1 Daia, Liviu 1 de Cataldo, Mark Andrea A. 1 De Grande-De Kimpe, Nicole 1 Déglise, Frédéric 1 Di Matteo, Giovanni 1 Di Proietto, Valentina 1 Dickenstein, Alicia M. 1 Dimca, Alexandru 1 Dingoyan, Pascal 1 Dlab, Vlastimil H. 1 Donovan, Will 1 Douai, Antoine 1 Dwork, Bernard Morris 1 Ertl, Veronika 1 Fiorot, Luisa 1 Gachet, Fabien 1 Galligo, André 1 Gao, Tingran 1 García López, Ricardo 1 Garnier, Laurent 1 Geandier, Françoise 1 Ginzburg, Victor 1 Große-Klönne, Elmar 1 Hauser, Herwig ...and 66 more Authors all top 5 Cited in 51 Serials 18 Annales de l’Institut Fourier 16 Compositio Mathematica 12 Mathematische Annalen 11 Rendiconti del Seminario Matematico della Università di Padova 10 Inventiones Mathematicae 9 Bulletin de la Société Mathématique de France 9 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Advances in Mathematics 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Journal of Algebra 7 Transactions of the American Mathematical Society 6 Duke Mathematical Journal 6 Journal of the Institute of Mathematics of Jussieu 4 Journal of Pure and Applied Algebra 4 Mathematische Zeitschrift 4 Proceedings of the American Mathematical Society 4 Journal of Symbolic Computation 4 Revista Matemática Iberoamericana 4 Bulletin of the American Mathematical Society. New Series 3 Nagoya Mathematical Journal 3 Tohoku Mathematical Journal. Second Series 3 Mémoires de la Société Mathématique de France. Nouvelle Série 3 Selecta Mathematica. New Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Arkiv för Matematik 2 Proceedings of the Japan Academy. Series A 2 Journal of the American Mathematical Society 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Algebraic Geometry 2 Journal de Théorie des Nombres de Bordeaux 2 European Journal of Mathematics 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Topology and its Applications 1 Discrete & Computational Geometry 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Finite Fields and their Applications 1 Bulletin des Sciences Mathématiques 1 Documenta Mathematica 1 Representation Theory 1 International Journal of Number Theory 1 Mathematics in Computer Science 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications all top 5 Cited in 31 Fields 132 Algebraic geometry (14-XX) 92 Several complex variables and analytic spaces (32-XX) 35 Field theory and polynomials (12-XX) 34 Commutative algebra (13-XX) 18 Partial differential equations (35-XX) 17 Number theory (11-XX) 16 Global analysis, analysis on manifolds (58-XX) 13 Associative rings and algebras (16-XX) 12 Category theory; homological algebra (18-XX) 10 Special functions (33-XX) 9 Ordinary differential equations (34-XX) 6 Algebraic topology (55-XX) 5 Topological groups, Lie groups (22-XX) 5 Functional analysis (46-XX) 4 Group theory and generalizations (20-XX) 4 Operator theory (47-XX) 4 Manifolds and cell complexes (57-XX) 3 Nonassociative rings and algebras (17-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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