Chaînes holomorphes de bord donné dans CPn

Bulletin de la Societe Mathematique de France

Volumn 125, Issue 3, 1997, Pages 383-445

  Dolbeault, Pierre ^a   Henkin, Gennadi ^a  

^a INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001344163     PISSN: 00379484     EISSN: None     Source Type: Journal    
DOI: 10.24033/bsmf.2312     Document Type: Article

References (42)

1. AUDIN (M.), LAFONTAINE (J.) ed. - Holomorphic curves in Symplectic Geometry. Progress in Math., Birkhäuser, t. 117, 1994.
2. BISHOP (E.). - Conditions for the analyticity of certain sets, Michigan Math. J., t. 11, 1964, p. 289-304.
3. BOCHNER (S.), MARTIN (W.T.). - Several complex variables, Princeton Math. Ser., t. 10, 1948.
4. CHIRKA (E.M.). - Complex analytic sets, Mathematics and its applications, 46. - Kluwer Academic Publishers, 1989; Russian edition 1985.
5. e éd. - Gauthier-Villars, Paris, 1914.
6. DINH TIEN CUONG (P.). - Chaînes holomorphes à bord rectifiable, C. R. Acad. Sci. Paris, t. 322, Série I, 1996, p. 1135-1140.
7. DINH TIEN CUONG (P.). - Enveloppe polynômiale d'un compact de longueur finie et chaînes holomorphes à bord rectifiable, Institut de Mathématiques de Jussieu, prépublication 93, 1996, à paraître dans Acta Mathematica.
8. n, Springer Lectures Notes, t. 1089, 1983, p. 118-129.
9. n, Contributions to complex analysis and analytic geometry, Aspects of Math., Vieweg, t. 26, 1994, p. 163-187.
10. n, Institut de Mathématiques de Jussieu, prépublication 76, 1996.
11. n, prépublication, 1995.
12. n, Funct. Anal, and Appl., t. 12, 1978, p. 247-261.
13. GROMOV (M.). - Pseudo-holomorphic curves in symplectic manifolds, Inv. math., t. 82, 1985, p. 307-347.
14. HARVEY (R.). - Holomorphic chains and their boundaries, Proc. Symp. Pure Math., t. 30, vol. 1, 1977, p. 309-382.
15. HARVEY (R.), LAWSON (B.). - On boundaries of complex analytic varieties, I, Ann. of Math., t. 102, 1975, p. 233-290.
16. HARVEY (R.), LAWSON (B.). - On boundaries of complex analytic varieties, II, Ann. of Math., t. 106, 1977, p. 213-238.
17. HARVEY (R.), LAWSON (B.). - Complex analytic geometry and measure theory. Proc. Symp. Pure Math., t. 44, 1986, p. 261-274.
18. HARVEY (R.), SHIFFMAN (B.). - A characterization of holomorphic chains, Ann. of Math. (2), t. 99, 1974, p. 553-587.
19. HENKIN (G.), LEITERER (J.). - Andreotti-Grauert theory by integral formulas, Progress in Math., Birkhaüser, Boston, t. 74, 1988.
20. HENKIN (G.), TUMANOV (A.E.). - Local characterization of holomorphic automorphisms of Siegel domains, Funct. Anal, and Appl., t. 17, 1983, p. 285-294.
21. 2 estimates and existence theorems for the ∂̄-operator, Acta Math., t. 113, 1965, p. 89-152.
22. IVASHKOVICH (S.M.). - The Hartogs-type extension theorem for meromorphic maps into compact Kähler manifolds, Inv. Math., t. 109, 1992, p. 47-54.
23. JÖRICKE (B.). - Some remarks concerning holomorphically convex hulls and envelopes of holomorphy, Math. Z., t. 218, 1995, p. 143-157.
24. KING (J.). - Open problems in geometric function theory, Proceedings of the fifth international symposium, division of Math., p. 4, The Taniguchi foundation, 1978.
25. KOHN (J.J.), ROSSI (H.). - On the extension of holomorphic functions from the boundary of a complex manifold, Ann. of Math., t. 81, 1965, p. 451-472.
26. KOPPELMAN (W.). - The Cauchy integral for functions of several complex variables, Bull. A.M.S., t. 73, 1967. p. 372-377.
27. LAWRENCE (M.G.). - Polynomial hulls of rectifiable curves, Amer. J. Math., t. 117, 1995, p. 405-417.
28. n, J. Analyse Math., t. 12, 1964, p. 365-407.
29. LERAY (J.). - Le calcul différentiel et intégral sur une variété analytique complexe (Problème de Cauchy III), Bull. S.M.F., t. 87, 1959, p. 81-180.
30. LEVY (H.). - On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for functions of two complex variables, Ann. of Math., t. 64, 1956, p. 514-522.
31. PORTEN (E.). - A Hartogs-type theorem for meromorphic mappings, preprint 1997.
32. ROSSI (H.). - Continuation of subvarieties of projective varieties, Amer. J. of Math., t. 91, 1969, p. 565-575.
33. ROTHSTEIN (W.). - Bemerkung zur theorie komplexen Raüme, Math. Ann., t. 137, 1959, p. 304-315.
34. ROTHSTEIN (W.), SPERLING (H.). - Einsetzer und analytischer Flächenstücke in Zyklen auf komplexer Raüme, Festshrift zur Gedächtnisfeier für Karl Weierstrass 1815-1965 (Behnke und Kopfermann, ed.). Westentsche Verlag, Köln, 1965, p. 531-554.
35. SACKS (J.), UHLENBECK (K.). - The existence of minimal 2-spheres, Ann. of Math., t. 113, 1981, p. 1-24.
36. SARKIS (F.). - CR meromorphic extension and the non embedding of the Andreotti-Rossi CR structure in the projective space, Institut de Mathématiques de Jussieu, prébublication 116, 1997.
37. SHIFFMAN (B.). - On the removal of singularities of analytic sets, Michigan Math. J., t. 15, 1968, p. 111-120.
38. STOLL (W.). - Über die Fortsetzbarkeit analytischer Mengen endlichen Oberflächeninhaltes, Arch. Math., t. 9, 1958, p. 167-175.
39. STOUT (E.L.). - The boundary values of holomorphic functions of several complex variables, Duke Math. J., t. 44, 1977, p. 105-108.
40. 2, Inv. Math., t. 83, 1986, p. 583-592.
41. n, Ann. of Math., t. 68, 1958, p. 550-561.
42. WU (H.-H.). - The equidistribution theory of holomorphic curves, Ann. of Math. Studies, Princeton Univ. Press, t. 64, 1970.