Application of the microlocal theory of sheaves to the study of 𝒪 X
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1984-1985), Talk no. 4, 15 p.
@article{SEDP_1984-1985____A4_0,
     author = {Kashiwara, M. and Schapira, P.},
     title = {Application of the microlocal theory of sheaves to the study of ${\mathcal {O}}_X$},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:4},
     pages = {1--15},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1984-1985},
     zbl = {0597.58028},
     language = {en},
     url = {http://www.numdam.org/item/SEDP_1984-1985____A4_0/}
}
TY  - JOUR
AU  - Kashiwara, M.
AU  - Schapira, P.
TI  - Application of the microlocal theory of sheaves to the study of ${\mathcal {O}}_X$
JO  - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
N1  - talk:4
PY  - 1984-1985
SP  - 1
EP  - 15
PB  - Ecole Polytechnique, Centre de Mathématiques
UR  - http://www.numdam.org/item/SEDP_1984-1985____A4_0/
LA  - en
ID  - SEDP_1984-1985____A4_0
ER  - 
%0 Journal Article
%A Kashiwara, M.
%A Schapira, P.
%T Application of the microlocal theory of sheaves to the study of ${\mathcal {O}}_X$
%J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
%Z talk:4
%D 1984-1985
%P 1-15
%I Ecole Polytechnique, Centre de Mathématiques
%U http://www.numdam.org/item/SEDP_1984-1985____A4_0/
%G en
%F SEDP_1984-1985____A4_0
Kashiwara, M.; Schapira, P. Application of the microlocal theory of sheaves to the study of ${\mathcal {O}}_X$. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1984-1985), Talk no. 4, 15 p. http://www.numdam.org/item/SEDP_1984-1985____A4_0/

[1 ] Andreotti A., Grauert H.: Théorèmes de finitude pour la cohomologie des espaces complexes. Bull. Soc. Math. France, 90, 193-259, (1962). | Numdam | MR | Zbl

[2] Baouendi M.S., Chang C.H., Trèves F.: Microlocal hypo-analyticity and extension of C.R. functions. J. Diff. Geometry 18, n°3, 331-391, (1983). | MR | Zbl

[3] Bengel G., Schapira P.: Décomposition microlocale analytique des distributions. Ann. Inst. Fourier, Grenoble, 29 n°3, 101-124, (1979). | Numdam | MR | Zbl

[4] Hartshorne R.: Residues and duality. Lecture Notes in Math. 20, Springer-Verlag, (1966). | MR | Zbl

[5] Hörmander L.: An introduction to complex analysis in several variables, Van Norstrand, Princeton -London Toronto (1966). | MR | Zbl

[6] Hörmander L.: Fourier integral operators. Acta Math. 127, 79.183 (1971). | MR | Zbl

[7] Kashiwara M.,Kawai T.: On the boundary value problem for elliptic systems of linear differential equations, I, II. Proc. Japan. Acad. 48, 712-715, (1972) and 49, 164-168, (1973). | MR | Zbl

[8] Kashiwara M., Kawai T.: Some applications of boundary value problems for elliptic systems of linear differential equations. Ann. Math. Studies, 93, Princeton (1980). | MR | Zbl

[9] Kashiwara M., Schapira P.: Microlocal study of sheaves. Astérisque Soc. Math. France (1985) (to appear). cf. also: C.R. Acad. Sci. 295, 487-490, (1982), Proc. Japan Acad. 59, n°8, 349-351 and 352-354 (1983), or R.I.M.S. preprint n° 469 (1984), or Prepubl. Univ. Paris-Nord n°51 (1984). | Zbl

[10] Kashiwara M., Schapira P.: A vanishing theorem for a class of systems with simple characteristics.To appear. | MR | Zbl

[11] Leray J.: Analyse Lagrangienne et mécanique quantique.Collège de France (1976-77). | MR

[12] Lewy H.: On the local character of the solution of an atypical differential equation in three variables and a related problem for regular functions of two complex variables. Ann. of Math. 64, 514-522, (1956). | MR | Zbl

[13] Lion G., Vergne M.: The Weil representation, Maslov index, and theta series - progress in Math.6 Birckhauser (1980). | MR | Zbl

[14] Malgrange B.: Faisceaux sur des variétés analytiques réelles. Bull. Soc. Math. France, 85, 231-237, (1957). | EuDML | Numdam | MR | Zbl

[15] Nacinovich M.: Poincaré's Lemma for tangential Cauchy-Riemann complexes. Preprint 41, Univ. di Pisa, (1983).

[16] Naruki I.: Localization principle for differential complexes and its applications. Publ. R.I.M.S. Kyoto Univers. vol.8, 43-110 (1972). | MR | Zbl

[17] Sato M., Kashiwara M., Kawai T.: Hyperfunctions and pseudo-differential equations. Lecture Notes in Math. 287, 265-529, Springer Verlag, (1973). | MR | Zbl

[18] Schapira P.: Condition de positivité dans une variété symplectique complexe. Application à l'étude des microfonctions. Ann. Ec. Norm. Sup. 14, 121-139, (1981). | EuDML | Numdam | MR | Zbl

[19] Sjöstrand J.: The F.B.I. transformation for C.R. submanifolds of Cn. Prepubl. Orsay (1982).

[20] Tajima S.: Analyse microlocale des variétés de Cauchy-Riemann et problème du prolongement des solutions holomorphes des équations aux dérivées partielles. Publ. R.I.M.S., Kyoto Univ. Vol. 18,911-945 (1983). | MR | Zbl