Pseudoconcave homogeneous manifolds

Huckleberry, A. T.; Snow, D.

Huckleberry, A. T. ; Snow, D.

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 7 (1980) no. 1, pp. 29-54.

MR Zbl | 2 citations dans Numdam

@article{ASNSP_1980_4_7_1_29_0,
     author = {Huckleberry, A. T. and Snow, D.},
     title = {Pseudoconcave homogeneous manifolds},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {29--54},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 7},
     number = {1},
     year = {1980},
     mrnumber = {577324},
     zbl = {0506.32015},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1980_4_7_1_29_0/}
}

TY  - JOUR
AU  - Huckleberry, A. T.
AU  - Snow, D.
TI  - Pseudoconcave homogeneous manifolds
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1980
SP  - 29
EP  - 54
VL  - 7
IS  - 1
PB  - Scuola normale superiore
UR  - http://archive.numdam.org/item/ASNSP_1980_4_7_1_29_0/
LA  - en
ID  - ASNSP_1980_4_7_1_29_0
ER  -

%0 Journal Article
%A Huckleberry, A. T.
%A Snow, D.
%T Pseudoconcave homogeneous manifolds
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1980
%P 29-54
%V 7
%N 1
%I Scuola normale superiore
%U http://archive.numdam.org/item/ASNSP_1980_4_7_1_29_0/
%G en
%F ASNSP_1980_4_7_1_29_0

Huckleberry, A. T.; Snow, D. Pseudoconcave homogeneous manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 7 (1980) no. 1, pp. 29-54. http://archive.numdam.org/item/ASNSP_1980_4_7_1_29_0/

Bibliographie
Cité par

[1] A. Andreotti, Théorèmes de dépendance algebrique sur les espaces complex pseudo-concaves, Bull. Soc. Math. France, 91 (1963), pp. 1-38. | EuDML | Numdam | MR | Zbl

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

[3] A. Andreotti - A. Huckleberry, Pseudoconcave Lie groups, Compositio Math., 25 (1972), pp. 109-115. | EuDML | Numdam | MR | Zbl

[4] A. Andreotti - Y.T. Siu, Projective imbeddings of pseudoconcave spaces, Ann. Scuola Norm. Sup. Pisa, (3), 24 (1970), pp. 231-278. | EuDML | Numdam | MR | Zbl

[5] M. Atiyah, Complex analytic connections in fibre bundles, Trans. Amer. Math. Soc., 85 (1957), pp. 181-207. | MR | Zbl

[6] W. Barth - M. Otte, Über fast-uniform Untergruppen komplexer Liegruppen und auflösbare komplexe Mannigfaltigkeiten, Comment. Math. Helv., 44 (1969), pp. 269-281. | EuDML | MR | Zbl

[7] A. Blanchard, Sur les variétès anatytiques complexes, Ann. Sci. École Norm. Sup., 73 (1956), pp. 157-262. | EuDML | Numdam | MR | Zbl

[8] S. Bochner - D. Montgomery, Groups on analytic manifolds, Ann. of Math., II. See 48 (1954), pp. 1147-1151. | MR | Zbl

[9] A. Borel, Kählerian coset spaces of semisimple Lie groups, Proc. Nat. Acad. Sci. U.S.A., 40 (1954), pp. 1147-1151. | MR | Zbl

[10] A. Borel - R. Remmert, Über kompakte homogene Kählersche Mannigfaltigkeiten, Math. Ann., 145 (1962), pp. 429-439. | MR | Zbl

[11] B. Gilligan - A. Huckleberry, Pseudoconcave homogeneous surfaces, Com- ment. Math. Helv., 53 (1978), pp. 429-438. | MR | Zbl

[12] H. Grauert, Über modifikationen und exzeptionelle analytische Mengen, Math. Ann., 146 (1962), pp. 331-368. | MR | Zbl

[13] H. Grauert - R. Remmert, Über kompakte homogene komplexe Mannigfaltigkeiten, Arch. Math. (Basel), 13 (1962), pp. 498-507. | MR | Zbl

[14] H. Hironaka, The resolution of singularities of an algebraic variety (characteristic zero), Ann. of Math., 79 (1964), pp. 109-236. | MR | Zbl

[15] A.T. Huckleberry, Über Funktionenkorper auf komplexen Mannigfaltnigkeite, Schr. Math. Inst. Univ. Munster, 2. Serie, Heft 9 (1975). | MR | Zbl

[16] A.T. Huckleberry - E. Oeljeklaus, A characterization of homogeneous cones, Math. Z. (to appear). | MR

[17] A.T. Huckleberry - D. Snow, A classification of strictly pseudoconcave homogeneous manifolds (to appear). | Numdam | Zbl

[18] J. Humphreys, Linear algebraic groves (graduate texts in mathematics, vol. 21), Springer-Verlag (1975). | MR | Zbl

[19] N. Kuhlmann, Über holomorphe abbildungen komplexer Räume, Arch. Math. (Basel), 15 (1964), pp. 81-90. | MR | Zbl

[20] Y. Matsushima, Fibrés holomorphes sur un tore complex, Nagoya Math. J., 13 (1958). | MR | Zbl

[21] Y. Matsushima, Espaces homogènes de Stein des groupes de Lie complexes I, Nagoya Math. J., 16 (1960), pp. 205-218. | MR | Zbl

[22] A. Mizuhara, On a Λ1-bundle over an abelian variety which is almost homogeneous, Math. Japon., 16 (1971), pp. 105-114. | Zbl

[23] A. Morimoto, Non-compact complex Lie groups without non-constant holomorphic functions, Proceedings of the Conference on Complex Analysis, Minneapolis (1964), pp. 256-272. | MR | Zbl

[24] B. Mumford, Algebraic geometry. I: Complex projective varieties, Springer-Verlag (1976). | MR | Zbl

[25] E. Oeljeklaus, Über fast homogene kompakte komplexe Mannigfaltigkeiten, Schr. Math. Inst. Univ. Münster. | Zbl

[26] E. Oeljeklaus, Ein Hebbarkeitssatz für Automorphismengruppen kompakter komplexer Mannigfaltigkeiten, Math. Ann., 190 (1970), pp. 154-166. | MR | Zbl

[27] R. Remmert - R. Stein, Über die wesentlichen singularitaten analytischer Mengen, Math. Ann., 126 (1953), pp. 263-306. | MR | Zbl

[28] R. Remmert - T. Van De Ven, Zur Functionentheorie homogener komptexer Mannigfaltigkeiten, Topology, vol. 2, Pergamon Press (1963), pp. 137-157. | MR | Zbl

[29] H. Rossi, Vector fields on analytic spaces, Ann. of Math., 78, no. 3 (1963), pp. 455-467. | MR | Zbl

[30] H. Rossi, Homogeneous strongly pseudoconvex hypersurfaces, Rice Univ. Studies, 59, nos. 1, 2 (1973), pp. 131-145. | MR | Zbl

[31] J. Tits, Espaces homogenes complexes compacts, Comment. Math. Helv., 37 (1962), pp. 111-120. | MR | Zbl

[32] H.C. Wang, Closed manifolds with homogeneous complex structure, Amer. J. Math., 76 (1954), pp. 1-32. | MR | Zbl

[33] A. Weil, Introduction à l'étude des variétés Kählériennes, Hermann (1958). | MR | Zbl