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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1969 Volume 79(121), Number 3(7), Pages 357–367 (Mi sm3592)

This article is cited in 1 paper

On the triviality of families of compact complex spaces

P. L. Polyakov


Abstract: The paper proves the following theorem (a generalization of the corresponding Grauert–Fischer theorem): if there is a holomorphic deformation $X_s$ of a compact complex space (in the sense of Serre) $X$, where the parameter $s$ of the deformation runs through the complex space $S$, and if all the $X_s$ are isomorphic to $X$, then the deformation is trivial.
Bibliography: 7 titles.

UDC: 513.836+519.46

MSC: 32C15, 32G05, 32L05, 32A19

Received: 23.09.1968


 English version:
Mathematics of the USSR-Sbornik, 1969, 8:3, 335–344

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