Flattening of CR singular points and analyticity of the local hull of holomorphy II
نویسندگان
چکیده
This is the second article of the two papers, in which we investigate the holomorphic and formal flattening problem of a non-degenerate CR singular point of a codimension two real submanifold in C with n ≥ 3. The problem is motivated from the study of the complex Plateau problem that looks for the Levi-flat hypersurface bounded by a given real submanifold and by the classical complex analysis problem of finding the local hull of holomorphy of a real submanifold in a complex space. The present article is focused on non-degenerate CR singular points with at least one non-parabolic Bishop invariant. We will solve the formal flattening problem in this setting. The results in this paper and those in [HY3] appeared in our earlier arxiv post [HY4].
منابع مشابه
Flattening of CR singular points and analyticity of the local hull of holomorphy I
This is the first article of the two papers in which we investigate the holomorphic and formal flattening problem for a codimension two real submanifold in C with n ≥ 3 near a non-degenerate CR singular point. The problem is motivated from the study of the complex Plateau problem that seeks for the Levi-flat hypersurface bounded by a given real submanifold and is motivated by the classical comp...
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