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Théoremes de bidualité locale pour les \(D_ x\)-modules holonomes. (French) Zbl 0525.32025

32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results
32C37 Duality theorems for analytic spaces
14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
32L05 Holomorphic bundles and generalizations
32C35 Analytic sheaves and cohomology groups
32K15 Differentiable functions on analytic spaces, differentiable spaces
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[1] J. E. Björk,Rings of differential operators. North-Holland Company – Amsterdam (1979).
[2] P. Deligne,Equations différentielles à points singuliers réguliers, Lecture Notes in Math. no 163. Berlin-Heidelberg-New York, Springer (1969).
[3] A. Grothendieck,Séminaire de géométrie algébrique du Bois Marie 1965–66. Cohomologiel-adique et fonctions L. Lectures Notes in Math. no 569. Berlin-Heidelberg-New York, Springer (1977).
[4] A. Grothendieck, On the De Rham. Cohomology of Algebraic VarietiesPubl. I.H.E.S. 29 (1966), 95–103. · Zbl 0145.17602
[5] M. Kashiwara, On the maximally over determined systems of linear differential equations I.Publ. R.I.M.S. Kyoto University. 10 (1975), 563–579. · Zbl 0313.58019
[6] M. Kashiwara, I. Oshima, System of differential equations with regular singularities and their boundary value problem.Ann of Math. 106 (1977), 145–200. · Zbl 0358.35073
[7] M. Kashiwara, P. Schapira, Micro-Hyperbolic systems.Act Math. 142 (1979), 1–56. · Zbl 0413.35049
[8] M. Kashiwara, T. Kawai, On holonomic systems of micro-differential equations III. (Preprint). · Zbl 0361.35064
[9] J. Hubbard, Transversalité. Séminaire de l’Ecole Normale Supérieure (1973).Astérisque 16 (1974), 33–34.
[10] B. Malgrange, Sur les points singuliers réguliers des équations différentielles.Enseignement Math. 20 (1974), 147–176. · Zbl 0299.34011
[11] Z. Mebkhout, Cohomologie locale d’une hypersurface. In fonctions de plusieurs variables complexes III. Lecture Notes in Math. no 670, Berlin-Heidelberg-New York, Springer (1977).
[12] Z. Mebkhout, Local cohomology of analytic spaces.Publ. R.I.M.S. Kyoto Univers.12 suppl. (1977), 247–256. · Zbl 0372.32007
[13] Z. Mebkhout, Théorèmes de dualité pour lesD x -modules cohérents.C.R. Acad. Sc. Paris 285 (1977), 785–787. · Zbl 0409.32006
[14] Z. Mebkhout, Cohomologie locale des espaces analytiques complexes.Thèse de Doctorat d’Etat, Université de Paris VII, 126 pages (Fév. 1979). · Zbl 0455.32006
[15] Z. Mebkhout, Sur le problème de Hilbert-Riemann.C.R. Acad. Sc. Paris 290 (1980), 415–417.
[16] M. Sato, T. Kawai, M. Kashiwara,Micro-fonctions and Pseudo differential equations. Lecture Notes in Math. no 287; 265–529. Berlin-Heidelberg-New York, Springer (1973). · Zbl 0277.46039
[17] J. P. Ramis, Variations sur le thème GAGA, Séminaire Lelong. Lecture Notes in Math. no 694. Berlin-Heidelberg-New York, Springer (1978).
[18] A. R. P. van den Essen, Fuchsion modules. (Thesis, 1979, Katholieke Universiteit Nymegen, The Netherlands).
[19] J. L. Verdier, Catégories dérivées Etat 0. In S. G. A. 4 1/2. Lecture Notes In Math. no 569; 262–311. Berlin-Heidelberg-New York, Springer (1977).
[20] J. L. Verdier, Dualité dans la cohomologie des espaces localement compacts.Séminaire Bourbaki, no 300 (1965–66).
[21] J. L. Verdier, Classe d’homologie associée à un cycle. Séminaire de l’Ecole Normale Supérieure.Astérisque 36–37 (1976), 101–151.
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