Involutivité des variétés microcaractéristiques

Masaki Kashiwara; Teresa Monteiro Fernandes

Bulletin de la Société Mathématique de France (1986)

  • Volume: 114, page 393-402
  • ISSN: 0037-9484

How to cite


Kashiwara, Masaki, and Monteiro Fernandes, Teresa. "Involutivité des variétés microcaractéristiques." Bulletin de la Société Mathématique de France 114 (1986): 393-402. <>.

author = {Kashiwara, Masaki, Monteiro Fernandes, Teresa},
journal = {Bulletin de la Société Mathématique de France},
keywords = {involutivity of characteristic varieties; microdifferential systems; complex manifold; characteristic variety; complex analytic Poisson manifold; Hamiltonian vector field},
language = {fre},
pages = {393-402},
publisher = {Société mathématique de France},
title = {Involutivité des variétés microcaractéristiques},
url = {},
volume = {114},
year = {1986},

AU - Kashiwara, Masaki
AU - Monteiro Fernandes, Teresa
TI - Involutivité des variétés microcaractéristiques
JO - Bulletin de la Société Mathématique de France
PY - 1986
PB - Société mathématique de France
VL - 114
SP - 393
EP - 402
LA - fre
KW - involutivity of characteristic varieties; microdifferential systems; complex manifold; characteristic variety; complex analytic Poisson manifold; Hamiltonian vector field
UR -
ER -


  1. [B] BJÖRK (J. E.). — “Rings of Differential Operators”, North Holland Math. Library Series, North Holland, Amsterdam-Oxford-New York, 1979. Zbl0499.13009
  2. [G] GABBER (O.). — “The integrability of the characteristic variety”, Amer. J. Math., vol. 103, no 3, 1981, p. 445-468. Zbl0492.16002MR82j:58104
  3. [H] HIRONAKA (H.). — Stratification and flatness, in “Real and Complex Singularities”, Nordic Summer School, Oslo, 1976, Sijthoff and Noordhoff, 1977. Zbl0424.32004
  4. [K] KASHIWARA (M.). — “Systems of Microdifferential Equations” Notes by T. Monteiro Fernandes, Progress in Math., no 34, Birkhäuser, 1983. Zbl0521.58057MR86b:58113
  5. [K-K] KASHIWARA (M.) et KAWAI (T.). — On holonomic systems for ∏Nl=1(ƒl + √ - 10)λl, Publ. R.I.M.S. Kyoto Univ., 15, 1979, p. 551-575. Zbl0449.35067MR81f:32004
  6. [K-O] KASHIWARA (M.) et OSHIMA (T.). — “Systems of differential equations with regular singularities and their boundary value problems” Annals of Maths., 106, 1977, p. 145-200. Zbl0358.35073MR58 #2914
  7. [K-S] KASIWARA (M.) et SCHAPIRA (P.). — 1. Problème de Cauchy pour les systèmes microdifférentiels dans le domaine complexe», Inventiones Math., vol. 46, 1978, p. 17-38. 2. “Microhyperbolic systems”, Acta Mathematica, vol. 142, 1979, p. 1-55. Zbl0413.35049
  8. [L] LAURENT (Y.). — «Théorie de la Deuxième Microlocalisation dans le Domaine Complexe», Progress in Math., vol. 53, Birkhäuser, 1985. Zbl0561.32013MR86k:58113
  9. [L-S] LIE (S.). — Theorie der transformations gruppen (Zweiter Abschnitt, unter mit wirking von Prof. Dr. Friedrich Engel), Leipzig, 1890. JFM23.0364.01
  10. [M] MALGRANGE (B.). — «L'involutivité des caractéristiques des systèmes différentiels et microdifférentiels», Seminaire Bourbaki, 522, 1977-1978. Zbl0423.46033
  11. [M-F] MONTEIRO FERNANDES (T.). — 1. Variété 1-microcaractéristique pour les ℰx-modules cohérents», C. R. Acad. Sci., t. 290, série A, 1980, p. 787-790. 2. «Problème de Cauchy pour les systèmes microdifférentiels», Astérisque, S.M.F. (à paraître). Zbl0445.58026MR82b:58084
  12. [S-K-K] SATO (M.)KAWAI (T.) et KASHIWARA (M.). — “Hyperfunctions and pseudodifferential equations”, Lecture Notes in Math., no 287, p. 265-529 Springer Verlag, 1973. Zbl0277.46039MR54 #8747
  13. [S] SCHAPIRA (P.). — “Microdifferential systems in the Complex Domain”, Grundelehren für Math., 269, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1985. Zbl0554.32022MR87k:58251
  14. [W. A] WEINSTEIN (A.). — “The local structure of Poisson Manifolds”, Journal of Differential Geometry, vol. 18, 1983, p. 523-557. Zbl0524.58011MR86i:58059
  15. [W] WHITNEY (H.). — “Tangents to an analytic variety”, Annals of Math., vol. 81, 1964, p. 496-549. Zbl0152.27701MR33 #745

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