Geodesic
Deformations of non-compact complex curves and envelopes of meromorphy of spheres
Sbornik. Mathematics, Tome 189 (1998) no. 9, pp. 1295-1333

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper discusses the properties of the envelopes of meromorphy of neighbourhoods of symplectically immersed two-spheres in complex Kahler surfaces. The method used to study the envelopes of meromorphy is based on Gromov's theory of pseudoholomorphic curves. The exposition includes a construction of a complete family of holomorphic deformations of a non-compact complex curve in a complex manifold parametrized by a finite-codimensional analytic subset of a Banach ball. The existence of this family is used to prove a generalization of Levi's continuity principle, which is applied to describe envelopes of meromorphy. 
@article{SM_1998_189_9_a1,
     author = {S. M. Ivashkovich and V. V. Shevchishin},
     title = {Deformations of non-compact complex curves and envelopes of meromorphy of spheres},
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     number = {9},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1998_189_9_a1/}
}
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S. M. Ivashkovich; V. V. Shevchishin. Deformations of non-compact complex curves and envelopes of meromorphy of spheres. Sbornik. Mathematics, Tome 189 (1998) no. 9, pp. 1295-1333. http://geodesic.mathdoc.fr/item/SM_1998_189_9_a1/