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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1981 Volume 116(158), Number 1(9), Pages 128–135 (Mi sm2445)

This article is cited in 2 papers

On holomorphic mappings of polyhedra

S. È. Sharonov


Abstract: This paper deals with a wide class of polyhedra in complex manifolds and with proper holomorphic mappings from one polyhedron to another. For polyhedra satisfying natural boundary conditions, in particular for analytic polyhedra in $\mathbf C^n$, necessary conditions are obtained for the existence of proper holomorphic and biholomorphic mappings of one polyhedron to another.
Bibliography: 6 titles.

UDC: 513.77

MSC: 32H99

Received: 30.09.1980


 English version:
Mathematics of the USSR-Sbornik, 1983, 44:1, 117–123

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