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Non-hyperbolic complex space with a hyperbolic normalization - MaRDI portal

Non-hyperbolic complex space with a hyperbolic normalization (Q2701633)

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Non-hyperbolic complex space with a hyperbolic normalization
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    Non-hyperbolic complex space with a hyperbolic normalization (English)
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    19 February 2001
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    hyperbolic complex spaces
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    By a result of \textit{M. H. Kwack} [Ann. Math. (2) 90, 9-22 (1969; Zbl 0179.12103)] a normalization of a hyperbolic complex space is also hyperbolic (in the sense of S. Kobayashi). In the present note, the authors show that the converse is not true constructing a non-hyperbolic singular projective surface whose normalization is hyperbolic.
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