This article is cited in 4 papers

The Levi form for $C^1$-smooth hypersurfaces, and the complex structure on the boundary of domains of holomorphy

N. V. Shcherbina


Abstract: A description is given of the set of those boundary points of a domain of holomorphy $D\subset\mathbf C^2$ which have a neighborhood in which the boundary fibers into analytic curves. For domains with $C^1$-smooth boundary whose closure has a basis of Stein neighborhoods this set coincides with the complement of the Shilov boundary $S_{A(\overline D)}$.
Bibliography: 5 titles.

UDC: 517.5

MSC: 32F99

Received: 10.03.1981

 English version: Mathematics of the USSR-Izvestiya, 1982, 19:1, 171–188

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