Abstract:
The paper is devoted to the study of necessary and sufficient topological conditions for an embedded real surface to lie in a strictly pseudoconvex domain on a complex surface. These results are used to construct Stein domains on algebraic manifolds and to describe envelopes of holomorphy of real surfaces in $\mathbb{CP}^2$ and in some other complex surfaces.
This publication is cited in the following 8 articles:
Proc. Steklov Inst. Math., 279 (2012), 257–275
Nemirovski S., “Geometric Methods in Complex Analysis”, European Congress of Mathematics, Vol II, Progress in Mathematics, 202, eds. Casacuberta C., MiroRoig R., Verdera J., XamboDescamps S., Birkhauser Verlag Ag, 2001, 55–64
Stefan Nemirovski, European Congress of Mathematics, 2001, 55
S. Yu. Nemirovski, “Complex analysis and differential topology on complex surfaces”, Russian Math. Surveys, 54:4 (1999), 729–752
S. Yu. Nemirovski, “Stein domains with Levi-plane boundaries on compact complex surfaces”, Math. Notes, 66:4 (1999), 522–525
Ivashkovich, S, “Structure of the moduli space in a neighborhood of a cusp-curve and meromorphic hulls”, Inventiones Mathematicae, 136:3 (1999), 571
S. M. Ivashkovich, V. V. Shevchishin, “Deformations of non-compact complex curves and envelopes of meromorphy of spheres”, Sb. Math., 189:9 (1998), 1295–1333
A. G. Vitushkin, “On the homology of a ramified covering over $\mathbb C^2$”, Math. Notes, 64:6 (1998), 726–731