Hulls and positive closed currents
Julien Duval and Nessim Sibony
Source: Duke Math. J. Volume 95, Number 3
(1998), 621-633.
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Digital Object Identifier: doi:10.1215/S0012-7094-98-09515-1
References
[A1] H. Alexander, Gromov's method and Bennequin's problem, Invent. Math. 125 (1996), no. 1, 135–148.
Mathematical Reviews (MathSciNet): MR97j:32007
Zentralblatt MATH: 0853.32003
Digital Object Identifier: doi:10.1007/s002220050071
[A2] H. Alexander, Counterexample to Bennequin, preprint, 1996.
[AL] Audin, M. and Lafontaine, J., eds., Holomorphic Curves in Symplectic Geometry, Progr. Math., vol. 117, Birkhäuser, Basel, 1994.
Mathematical Reviews (MathSciNet): MR95i:58005
Zentralblatt MATH: 0802.53001
[B] D. Barrett, Failure of averaging on multiply connected domains, Ann. Inst. Fourier (Grenoble) 40 (1990), no. 2, 357–370.
Mathematical Reviews (MathSciNet): MR92b:30050
Zentralblatt MATH: 0726.30034
[Be] B. Berndtsson, personal communication.
[Bi] E. Bishop, Differentiable manifolds in complex Euclidean space, Duke Math. J. 32 (1965), 1–21.
Mathematical Reviews (MathSciNet): MR34:369
Zentralblatt MATH: 0154.08501
Digital Object Identifier: doi:10.1215/S0012-7094-65-03201-1
Project Euclid: euclid.dmj/1077375631
[Ch] E. M. Chirka, Regularity of the boundaries of analytic sets, Mat. Sb. (N.S.) 117(159) (1982), no. 3, 291–336, 431.
Mathematical Reviews (MathSciNet): MR83f:32009
Zentralblatt MATH: 0525.32005
[Du] J. Duval, Convexité rationnelle des surfaces lagrangiennes, Invent. Math. 104 (1991), no. 3, 581–599.
Mathematical Reviews (MathSciNet): MR92g:32029
Zentralblatt MATH: 0699.32008
Digital Object Identifier: doi:10.1007/BF01245091
[DS] J. Duval and N. Sibony, Polynomial convexity, rational convexity, and currents, Duke Math. J. 79 (1995), no. 2, 487–513.
Mathematical Reviews (MathSciNet): MR96f:32016
Zentralblatt MATH: 0838.32006
Digital Object Identifier: doi:10.1215/S0012-7094-95-07912-5
Project Euclid: euclid.dmj/1077285159
[GS] T. Gamelin and N. Sibony, Subharmonicity for uniform algebras, J. Funct. Anal. 35 (1980), no. 1, 64–108.
Mathematical Reviews (MathSciNet): MR81f:46062
Zentralblatt MATH: 0422.46043
Digital Object Identifier: doi:10.1016/0022-1236(80)90081-6
[G] M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), no. 2, 307–347.
Mathematical Reviews (MathSciNet): MR87j:53053
Zentralblatt MATH: 0592.53025
Digital Object Identifier: doi:10.1007/BF01388806
[HW] R. Harvey and R. O. Wells, Zero sets of nonnegative strictly plurisubharmonic functions, Math. Ann. 201 (1973), 165–170.
Mathematical Reviews (MathSciNet): MR48:8847
Zentralblatt MATH: 0253.32009
Digital Object Identifier: doi:10.1007/BF01359794
[Ho] L. Hörmander, An Introduction to Complex Analysis in Several Variables, 3d ed., North-Holland Math. Library, vol. 7, North-Holland, Amsterdam, 1990.
Mathematical Reviews (MathSciNet): MR91a:32001
Zentralblatt MATH: 0685.32001
[HoW] L. Hörmander and J. Wermer, Uniform approximation on compact sets in $\mathbbC^n$, Math. Scand. 23 (1968), 5–21.
Mathematical Reviews (MathSciNet): MR40:7484
Zentralblatt MATH: 0181.36201
[L] P. Lelong, Fonctions Plurisousharmoniques et Formes Différentielles Positives, Gordon & Breach, Dunod, Paris, 1968.
Mathematical Reviews (MathSciNet): MR39:4436
Zentralblatt MATH: 0195.11603
[O] Y. G. Oh, Fredholm theory of holomorphic discs with Lagrangian or totally real boundary conditions under the perturbation of boundary conditions, preprint, 1993.
[P] E. A. Poletsky, Holomorphic currents, Indiana Univ. Math. J. 42 (1993), no. 1, 85–144.
Mathematical Reviews (MathSciNet): MR94c:32007
Zentralblatt MATH: 0811.32010
Digital Object Identifier: doi:10.1512/iumj.1993.42.42006
[Sc] L. Schwartz, Théorie des distributions, Publications de l'Institut de Mathématique de l'Université de Strasbourg, No. IX-X. Nouvelle édition, entiérement corrigée, refondue et augmentée, Hermann, Paris, 1966.
Mathematical Reviews (MathSciNet): MR35:730
Zentralblatt MATH: 0149.09501
[S] N. Sibony, Quelques problèmes de prolongement de courants en analyse complexe, Duke Math. J. 52 (1985), no. 1, 157–197.
Mathematical Reviews (MathSciNet): MR87e:32020
Zentralblatt MATH: 0578.32023
Digital Object Identifier: doi:10.1215/S0012-7094-85-05210-X
Project Euclid: euclid.dmj/1077304283
[Si] Y. T. Siu, Analyticity of sets associated to Lelong numbers and the extension of closed positive currents, Invent. Math. 27 (1974), 53–156.
Mathematical Reviews (MathSciNet): MR50:5003
Zentralblatt MATH: 0289.32003
Digital Object Identifier: doi:10.1007/BF01389965
[St] G. Stolzenberg, Polynomially and rationally convex sets, Acta Math. 109 (1963), 259–289.
Mathematical Reviews (MathSciNet): MR26:3929
Zentralblatt MATH: 0122.08404
Digital Object Identifier: doi:10.1007/BF02391815
[Sto] E. L. Stout, The Theory of Uniform Algebras, Bogden & Quigley, Tarrytown-on-Hudson, N.Y., 1971.
Mathematical Reviews (MathSciNet): MR54:11066
Zentralblatt MATH: 0286.46049
[Su] D. Sullivan, Cycles for the dynamical study of foliated manifolds and complex manifolds, Invent. Math. 36 (1976), 225–255.
Mathematical Reviews (MathSciNet): MR55:6440
Zentralblatt MATH: 0335.57015
Digital Object Identifier: doi:10.1007/BF01390011
[T] M. Tsuji, Potential Theory in Modern Function Theory, Maruzen, Tokyo, 1959.
Mathematical Reviews (MathSciNet): MR22:5712
Zentralblatt MATH: 0087.28401
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