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On the holonomic systems of linear differential equations. II. (English) Zbl 0401.32005


MSC:

32C35 Analytic sheaves and cohomology groups
32C25 Analytic subsets and submanifolds
55N30 Sheaf cohomology in algebraic topology
58C10 Holomorphic maps on manifolds

Citations:

Zbl 0313.58019

References:

[1] Bernstein, I.N.: The analytic continuation of generalized functions with respect to a parameter. Functional Anal. Appl.6, 26-40 (1972)
[2] Grothendieck, A.: Cohomologie Locale des Faisceaux Cohérents et Théorèmes de Lefschetz Locaux et Globeaux (SGA 2). Amsterdam: North-Holland Publ. Co. 1968 · Zbl 0197.47202
[3] Hartshorne, R.: Local Cohomology, Lecture Notes in Math., 41. Berlin-Heidelberg-New York: Springer 1967
[4] Kashiwara, M.: An algebraic study of systems of partial differential equations, local theory of differential operators (Master’s thesis). Sugakushinkokai (in Japanese), 1970
[5] Kashiwara, M.: On the maximally overdetermined system of linear differential equations, I. Publ. R.I.M.S., Kyoto Univ.10, 563-579 (1975) · Zbl 0313.58019 · doi:10.2977/prims/1195192011
[6] Kashiwara, M.:B-functions and holonomic systems, rationality of roots ofb-functions. Inventiones Math.38, 33-53 (1976) · Zbl 0354.35082 · doi:10.1007/BF01390168
[7] Kashiwara, M., Kawai, T.: On the holonomic systems of micro-differential equations, III. in press (1978) · Zbl 0482.35060
[8] Le Jeune-Jalabert, M., Malgrange, B., Boutet de Monvel: Séminaire ?Opérateurs différentiels et pseudo-différentiels?, I, II, III, IV, Université Scientifique et Médical de Grenoble, Laboratoire de Math. Pures Associé au C.N.R.S., 1975-1976
[9] Sato, M., Kawai, T., Kashiwara, M.: Microfunctions and pseudodifferential equations, Lecture Notes in Math. Berlin-Heidelberg-New York: Springer287, 265-529 (1973)
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