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 Mat. Sb. (N.S.), 1982, Volume 117(159), Number 3, Pages 291–336 (Mi msb2211)

Regularity of the boundaries of analytic sets

E. M. Chirka

Abstract: In this article the author studies the boundary behavior of a one-dimensional complex analytic set $A$ in a neighborhood of a totally real manifold $M$ in $\mathbf C^n$ with smoothness greater than 1. He proves that the limit points of $A$ on $M$ form a set of locally finite length and that near almost every limit point the closure of $A$ is either a manifold with boundary (with smoothness corresponding to $M$) or a union of two manifolds with boundary. He investigates the structure of the tangent cone to $A$ at the limit points and proves a theorem concerning the boundary regularity of holomorphic discs “glued” to $M$.
Bibliography: 22 titles.

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English version:
Mathematics of the USSR-Sbornik, 1983, 45:3, 291–335

Bibliographic databases:

Document Type: Article
UDC: 517.55
MSC: Primary 32C25, 32C40; Secondary 32D99

Citation: E. M. Chirka, “Regularity of the boundaries of analytic sets”, Mat. Sb. (N.S.), 117(159):3 (1982), 291–336; Math. USSR-Sb., 45:3 (1983), 291–335

Citation in format AMSBIB
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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
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