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On the logarithmic Kodaira dimension of complete Kähler manifolds of positive Ricci curvature - MaRDI portal

On the logarithmic Kodaira dimension of complete Kähler manifolds of positive Ricci curvature (Q1384613)

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scientific article; zbMATH DE number 1142989
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On the logarithmic Kodaira dimension of complete Kähler manifolds of positive Ricci curvature
scientific article; zbMATH DE number 1142989

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    On the logarithmic Kodaira dimension of complete Kähler manifolds of positive Ricci curvature (English)
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    16 February 1999
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    In this paper, complete non-compact Kähler manifolds with positive Ricci curvature are considered. Following \textit{N. Mok} [Math. Ann. 286, 373-408 (1990; Zbl 0711.53057)], the author shows that the classification of such manifolds, satisfying some additional conditions, can be reduced to the classification of quasiprojective manifolds for which Kodaira's logarithmic dimension is \(-\infty\).
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    Kodaira dimension
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    noncompact Kähler manifolds
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    positive Ricci curvature
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