Hulls and positive closed currents

Duke Mathematical Journal

Volumn 95, Issue 3, 1998, Pages 621-633

  Duval, Julien ^a   Sibony, Nessim ^b  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

^b UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040633530     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-98-09515-1     Document Type: Article

References (24)

1. H. Alexander, Gromov's method and Bennequin’s problem, Invent. Math. 125 (1996), 135-148.
2. H. Alexander, Counterexample to Bennequin, preprint, 1996.
3. M. Audin and J. Lafontaine, Eds., Holomorphic Curves in Symplectic Geometry, Progr. Math. 117, Birkhaüser, Basel, 1994.
4. D. Barrett, Failure of averaging on multiply connected domains, Ann. Inst. Fourier 40 (1990), 357-370.
5. B. Berndtsson, personal communication.
6. E. Bishop, Differentiable manifolds in complex Euclidean space, Duke Math. J. 32 (1965), 1 21.
7. E. M. Chirka, Regularity of the boundaries of analytic sets, Mat. Sb. 117(159) (1982), 291-336.
8. J. Duval, Convexité rationnelle des surfaces Lagrangiennes, Invent. Math. 104 (1991), 581-599.
9. J. Duval and N. Sibony, Polynomial convexity, rational convexity, and currents, Duke Math. J. 79 (1995), 487-513.
10. T. Gamelin and N. Sibony, Subharmonicity for uniform algebras, J. Funct. Anal. 35 (1980), 64-108.
11. M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307-347.
12. R. Harvey and R. O. Wells, Zero sets of nonnegative strictly plurisubharmonic functions, Math. Ann. 201 (1973), 165-170.
13. L. Hõrmander, An Introduction to Complex Analysis in Several Variables, 3d ed., North-Holland Math. Library 7, North-Holland, Amsterdam, 1990.
14. L. Hõrmander and J. Wermer, Uniform approximation on compact sets in
15. P. Lelong, Fonctions Plurisousharmoniques et Formes Différentielles Positives, Gordon & Breach, Dunod, Paris, 1968.
16. Y. G. Oh, Fredholm theory of holomorphic discs with Lagrangian or totally real boundary conditions under the perturbation of boundary conditions, preprint, 1993.
17. E. A. Poletsky, Holomorphic currents, Indiana Univ. Math. J. 42 (1993), 85-144.
18. L. Schwartz, Théorie des distributions, Nouvelle édition, Hermann, Paris, 1966.
19. N. Sibony, Quelques problèmes de prolongement de courants en analyse complexe, Duke Math. J. 52 (1985), 157-197.
20. Y. T. Siu, Analyticity of sets associated to Lelong numbers and extension of closed positive currents, Invent. Math. 27 (1974), 53-156.
21. G. Stolzenberg, Polynomially and rationally convex sets, Acta Math. 109 (1963), 259-289.
22. E. L. Stout, The Theory of Uniform Algebras, Bogden & Quigley, Tarrytown-on-Hudson, N.Y., 1971.
23. D. Sullivan, Cycles for the dynamical study of foliated manifolds and complex manifolds, Invent. Math. 36 (1976), 225-255.
24. M. Tsuji, Potential Theory in Modern Function Theory, Maruzen, Tokyo, 1959.