Structure des surfaces de Kato

Georges Dloussky

Mémoires de la Société Mathématique de France (1984)

  • Volume: 14, page I1-II120
  • ISSN: 0249-633X

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Dloussky, Georges. "Structure des surfaces de Kato." Mémoires de la Société Mathématique de France 14 (1984): I1-II120. <http://eudml.org/doc/94835>.

@article{Dloussky1984,
author = {Dloussky, Georges},
journal = {Mémoires de la Société Mathématique de France},
keywords = {classification of surfaces; Inoue surfaces; global spherical shells; minimal surfaces; Kato surfaces},
language = {eng},
pages = {I1-II120},
publisher = {Société mathématique de France},
title = {Structure des surfaces de Kato},
url = {http://eudml.org/doc/94835},
volume = {14},
year = {1984},
}

TY - JOUR
AU - Dloussky, Georges
TI - Structure des surfaces de Kato
JO - Mémoires de la Société Mathématique de France
PY - 1984
PB - Société mathématique de France
VL - 14
SP - I1
EP - II120
LA - eng
KW - classification of surfaces; Inoue surfaces; global spherical shells; minimal surfaces; Kato surfaces
UR - http://eudml.org/doc/94835
ER -

References

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  1. [1] F.A. BOGOMOLOV : Surfaces of class VII and affine geometry (Russian), Izv. Akad. Nauk SSSR ser. Mat. 46 (1982) pp. 710-761. Zbl0527.14029MR84k:32034
  2. [2] G. DLOUSSKY : Sur les surfaces compactes de la classe VII contenant une coquille sphérique globale. CRAS, T. 292 pp. 727-730 (1981). Zbl0472.32019MR82f:32042
  3. [3] G. DLOUSSKY : Sur les courbes et champs de vecteurs globaux des surfaces analytiques de la classe VII admettant une coquille sphérique globale. CRAS t. 295 pp. 111-114 (1982). Zbl0505.32022MR83j:32031
  4. [4] I. ENOKI : Surfaces of class VII with curves. Proceedings Japan Acad. 56 ser. A (1980). Zbl0462.32012MR82d:32022
  5. [5] I. ENOKI : Surfaces of class VII with curves. Tôhoku Math. J. 33 (1981) 453-492. Zbl0476.14013MR83g:32028
  6. [6] H. FREUDENTHAL : Über die Enden topologischer Räume und Gruppen. Math. Zeitschrift 33 (1931) 692-713. Zbl0002.05603JFM57.0731.01
  7. [7] H. GRAUERT : Über Modifikationen und exzeptionnelle analytischen Mengen. Math. Annalen 146 (1962), 331-368. Zbl0178.42702MR25 #583
  8. [8] C. HOUZEL : Séminaire Cartan1960-1961 Exposé 21 E.N.S. Paris. 
  9. [9] M. INOUE : On surfaces of class VII. Invent. Math. 24 (1974) pp. 269-310. Zbl0283.32019MR49 #7479
  10. [10] M. INOUE : New surfaces with no meromorphic function. Proceedings of the Int. Congress of Math. Vancouver 1974 Vol 1 R. James Ed. 1975 pp. 423-426. Zbl0365.14010MR56 #682
  11. [11] M. INOUE : New surfaces with no meromorphic functions II Complex Analysis and Algebraic Geometry. Iwanami Shoten Publ. Tokyo 1977. Zbl0365.14011
  12. [12] Ma. KATO : Compact complex manifolds containing "global spherical shells" I Proceedings of the Int. Symp. Algebraic Geometry, Kyoto 1977. Kinokuniya Book Store. Tokyo 1978. Zbl0421.32010
  13. [13] K. KODAIRA : On compact complex analytic surfaces I, II, III. Annals of Math. vol. 71 (1960) pp. 111-152 ; vol. 77 (1963) pp. 563-626 ; vol. 78 (1963) pp. 1-40. Zbl0098.13004
  14. [14] K. KODAIRA : On the structure of compact complex analytic surfaces I, II. Am. J. of Math. vol 86 (1964) pp. 751-798 ; vol. 88 (1966) pp. 682-721. Zbl0137.17501
  15. [15] H. LAUFER : Normal two-dimensional singularities. Annals of Math. Studies Princetion Univ. Press (1971). Zbl0245.32005MR47 #8904
  16. [16] I. NAKAMURA : On surfaces of class VII with positive b2. Preprint. 
  17. [17] I. NAKAMURA : On surfaces of class VII with curves. Proceedings of the Japan Acad. vol. 58 (1982), sér. A, pp. 380-383. Zbl0519.32017MR84e:32027
  18. [18] I. NAKAMURA : On surfaces of class VII with global spherical shells. Proceedings of the Japan Acad., vol. 59, ser. A, n° 2 (1983) pp. 29-32. Zbl0536.14022MR85a:32034
  19. [19] I. NAKAMURA : On surfaces of class VII with curves. Preprint. Zbl0575.14033
  20. [20] H. ROSSI : Vector fields on analytic spaces. Annals of Math. vol. 78 (1963) 455-467. Zbl0129.29701MR29 #277
  21. [21] W. RUDIN : Function theory in the unit ball of ℂn. Springer Verlag 1980. Zbl0495.32001MR82i:32002

Citations in EuDML Documents

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  1. Marco Brunella, Un complément à l’article de Dloussky sur le colmatage des surfaces holomorphes
  2. Franz Kohler, Feuilletages holomorphes singuliers sur les surfaces contenant une coquille sphérique globale
  3. Matei Toma, On the Kähler Rank of Compact Complex Surfaces
  4. Matteo Ruggiero, Contracting rigid germs in higher dimensions
  5. Georges Dloussky, Colmatage de surfaces holomorphes et classification des surfaces compactes
  6. Georges Dloussky, Franz Kohler, Classification of singular germs of mappings and deformations of compact surfaces of class VII₀
  7. Georges Dloussky, Quadratic forms and singularities of genus one or two
  8. Adolfo Guillot, Vector fields, separatrices and Kato surfaces
  9. Georges Dloussky, From non-Kählerian surfaces to Cremona group of P 2 (C)
  10. Konrad Schöbel, Moduli Spaces of PU ( 2 ) -Instantons on Minimal Class VII Surfaces with b 2 = 1

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