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Journal of the American Mathematical Society
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Oka's principle for holomorphic sections of elliptic bundles

Author(s): M. Gromov
Journal: J. Amer. Math. Soc. 2 (1989), 851-897.
MSC: Primary 32E10; Secondary 32E15, 32L05, 58G30
MathSciNet review: 1001851
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References:

[Ar]
R. Arens, The group of invertible elements of a commutative Banach algebra, Studia Math. (Ser. Spec.) Zes. 1 (1963), 21-23. MR 0146678 (26:4198)

[Bo]
F. Bogomolov, The Brauer group of quotient spaces by linear group actions, Izv. Akad. Nauk SSSR Ser. Mat. 51 (1987), 485-516; English transl., Math. USSR Izv. 30 (1988), 455-485. MR 903621 (88m:16006)

[Ca$ _{1}$]
H. Cartan, Variétés analytiques réelles et variétés analytiques complexes, Bull. Soc. Mat. France 85 (1957), 77-99. MR 0094830 (20:1339)

[Ca$ _{2}$]
-, Espaces fibrés analytiques, Sympos. Internac. de Topologic Algebraica, Mexico, 1958, Univ. Nac. Autónoma de México and UNESCO, Mexico City, 1958, pp. 97-121. MR 0098196 (20:4658)

[Cil]
C. Ciliberto, Osservazioni su alcuni classici theoremi di unirazionalita per ipersuperficie e complete intersezioni algebriche proiettive, Ricerche Mat. 29 (2) (1980), 176-191.

[Co]
P. M. Cohn, On the structure of $             {\text{C}}{{\text{L}}_2}$ of a ring, Inst. Hautes Études Sci. Publ. Math. 30 (1966), 365-413. MR 0207856 (34:7670)

[Eid]
V. Eidlin, The topological characterization of the space of maximal ideals of a Banach algebra, Vestnik Leningrad. Univ. 1967, no. 13 (Ser. Mat. Mekh. Astr. vyp. 3), 173-174. (Russian) MR 0218898 (36:1982)

[El]
Ya. Eliashberg, Topological structures on Stein manifolds and symplectic topology, Math. Sci. Res. Inst., 1988, preprint.

[Fo$ _{1}$]
O. Forster, Plongements des variétés de Stein, Comment. Math. Helv. 45 (1970), 170-184. MR 0269880 (42:4773)

[Fo$ _{2}$]
-, Topologische Methoden in der Theory Steinscher Räume, Internat. Congre. Math., Nice, 1970, Gauthier-Villars, Paris, 1971, pp. 613-618.

[F-R]
O. Forster and K. J. Ramspott, Okasche Paare von Garben nichtabelischer Gruppen, Invent. Math. 1 (1966), 260-286. MR 0212211 (35:3085)

[Gra$ _{1}$]
H. Grauert, Charakterisierung der holomorph-vollständigen komplexen Räume, Math. Ann. 129 (1955), 233-259. MR 0071084 (17:80d)

[Gra$ _{2}$]
-, Holomorphe Funktionen mit Werten in komplexen Lieschen Gruppen, Math. Ann. 133 (1957), 450-472. MR 0098198 (20:4660)

[Gra$ _{3}$]
-, On Levi's problem and the embeddings of real analytic manifolds, Ann. of Math. (2) 68 (1958), 460-472. MR 0098847 (20:5299)

[Gro]
M. Gromov, Partial differential relations, Springer-Verlag, Berlin and New York, 1986. MR 864505 (90a:58201)

[G-E$ _{1}$]
M. Gromov and Ya. Eliashberg, Removal of singularities of smooth maps, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 600-626; English transl., Math. USSR Izv. 5 (1971), 615-639. MR 0301748 (46:903)

[G-E$ _{2}$]
-, Non-singular maps of Stein manifolds, Funktsional Anal. i Prilozhen. 5 (1971), no. 2, 82-83; English transl., Functional Anal. Appl. 5 (1971), 156-157.

[G-R]
R. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice-Hall, NJ, 1965. MR 0180696 (31:4927)

[H-L]
G. M. Henkin and J. Leiterer, Proof of Grauert's Oka principle without induction over the basis dimension, Akad. Wiss. DDR, Weierstrass Inst. Math., Berlin, 1986, preprint.

[Na]
R. Narasimhan, Embedding of holomorphically complete spaces, Amer. J. Math. 82 (1960), 913-934. MR 0148942 (26:6438)

[No]
M. Novodvorski, Certain homotopic invariants of the space of maximal ideals, Math. Zametki 1 (1967), 487-494; English transl., Math. Notes 1 (1967), 321-325. MR 0209846 (35:742)

[Ra]
K. J. Ramspott, Stetige und holomorphe Schnitte in Bundeln mit homogener Faser, Math. Z. 89 (1965), 234-246. MR 0180701 (31:4932)

[Roy]
H. L. Royden, Function algebras, Bull. Amer. Math. Soc. 69 (1963), 281-298. MR 0149327 (26:6817)

[Scha]
U. Schaft, Einbettungen Steinseher Manningfaltigkeiten, Manuscripta Math. 47 (1984), 175-186. MR 744318 (85k:32032)

[Sus]
A. A. Suslin, On the structure of the special linear group of rings of polynomials, Izv. Akad. Nauk SSSR Ser. Mat. 41 (1977), 235-252; English transl., Math. USSR Izv. 11 (1977), 221-238. MR 0472792 (57:12482)

[Vo]
I. Volodin, Algebraic $ K$-theory as an extraordinary homology theory on the category of associative rings with a unit, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 844-873; English transl., Math. USSR Izv. 5 (1971), 859-887. MR 0296140 (45:5201)

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Additional Information:

DOI: 10.1090/S0894-0347-1989-1001851-9
PII: S0894-0347-1989-1001851-9
Copyright of article: Copyright 1989, American Mathematical Society




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