|
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
Retrieve article in:
PDF
This article is available free of charge
References |
Similar articles |
Additional information
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
] - H. Cartan, Variétés analytiques réelles et variétés analytiques complexes, Bull. Soc. Mat. France 85 (1957), 77-99. MR 0094830 (20:1339)
- [Ca
] - -, 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
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
] - O. Forster, Plongements des variétés de Stein, Comment. Math. Helv. 45 (1970), 170-184. MR 0269880 (42:4773)
- [Fo
] - -, 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
] - H. Grauert, Charakterisierung der holomorph-vollständigen komplexen Räume, Math. Ann. 129 (1955), 233-259. MR 0071084 (17:80d)
- [Gra
] - -, Holomorphe Funktionen mit Werten in komplexen Lieschen Gruppen, Math. Ann. 133 (1957), 450-472. MR 0098198 (20:4660)
- [Gra
] - -, 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
] - 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
] - -, 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
-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)
Similar Articles:
Retrieve articles in Journal of the American Mathematical Society
with
MSC:
32E10,
32E15, 32L05, 58G30
Retrieve articles in all Journals with
MSC:
32E10,
32E15, 32L05, 58G30
Additional Information:
DOI:
10.1090/S0894-0347-1989-1001851-9
PII:
S0894-0347-1989-1001851-9
Copyright of article:
Copyright
1989,
American Mathematical Society
|