On the D * -extension and the Hartogs extension

Do Duc Thai

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1991)

  • Volume: 18, Issue: 1, page 13-38
  • ISSN: 0391-173X

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Do Duc Thai. "On the $D^\ast $-extension and the Hartogs extension." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 18.1 (1991): 13-38. <http://eudml.org/doc/84093>.

@article{DoDucThai1991,
author = {Do Duc Thai},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Hermitian space; extension of holomorphic maps; hole; envelope of holomorphy; hyperbolicity of complex spaces; -extension; Kaehler space; Hartogs extension},
language = {eng},
number = {1},
pages = {13-38},
publisher = {Scuola normale superiore},
title = {On the $D^\ast $-extension and the Hartogs extension},
url = {http://eudml.org/doc/84093},
volume = {18},
year = {1991},
}

TY - JOUR
AU - Do Duc Thai
TI - On the $D^\ast $-extension and the Hartogs extension
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1991
PB - Scuola normale superiore
VL - 18
IS - 1
SP - 13
EP - 38
LA - eng
KW - Hermitian space; extension of holomorphic maps; hole; envelope of holomorphy; hyperbolicity of complex spaces; -extension; Kaehler space; Hartogs extension
UR - http://eudml.org/doc/84093
ER -

References

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  2. [2] R. Brody, Compact manifolds and hyperbolicity, Trans. Amer. Mat. Soc., 235 (1978), 213-219. Zbl0416.32013MR470252
  3. [3] G. Dloussky, Enveloppes d'holomorphie et prolongement d'hypersurfaces, Seminaire Pierre Lelong (Analyse). Année1975 -76, Lecture Notes in Math., 578 (1977). Zbl0372.32008MR460714
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  5. [5] A. Fujiki, Closedness of the Douady Spaces of Compact Kahler Spaces, Publ. RIMS, Kyoto Univ., 14(1) (1978), 1-52. Zbl0409.32016MR486648
  6. [6] H. Grauert - R. Remmert, Coherent Analytic Sheaves, Springer-Verlag, BerlinHeidelberg, 1984. Zbl0537.32001MR755331
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  10. [10] M.S. Ivaskowicz, Scheme of Hartogs for holomorphically convex Kahler spaces, Izv. Akad. Nauk SSSR Ser. Mat.50(4) (1986), 866-876. MR864181
  11. [11] P. Kiernan, On the relations between taut, tight, and hyperbolic manifolds, Bull. Amer. Math. Soc., 76 (1970), 48-51. Zbl0192.44103MR252678
  12. [12] S. Kobayashi, Hyperbolic manifolds and holomorphic maps, N.Y.Dekker, 1970. Zbl0207.37902MR277770
  13. [13] M. Kwack, Generalization of the big Picard theorem, Ann. of Math.90 (1969), 9-22. Zbl0179.12103MR243121
  14. [14] R. Narasimhan, Analysis on real and complex manifolds, Masson Cie, Editeur-Paris, North-Holland Publishing Company. Zbl0188.25803MR832683
  15. [15] B. Shiffman, Extension of Holomorphic Maps into Hermitian Manifolds, Math. Ann.194 (1971), 249-258. Zbl0213.36001MR291507
  16. [16] Y.T. Siu, Extension problem in several complex variables, Proceedings of the International Congress of Mathematicians, Helsinki, 1978, 669-674. Zbl0428.32009MR562670
  17. [17] Y.T. Siu, Every Stein Subvariety Admits a Stein Neighbourhood, Invent. Math., 38(1) (1976), 88-100. Zbl0343.32014MR435447
  18. [18] K. Stein, Analytische Zerlagungen Komplexer Raume, Math. Ann.132 (1956), 63-93. Zbl0074.06301MR83045

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