Two semi-continuity results for the algebraic dimension of compact complex manifolds (Q2788585)
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scientific article; zbMATH DE number 6543112
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two semi-continuity results for the algebraic dimension of compact complex manifolds |
scientific article; zbMATH DE number 6543112 |
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19 February 2016
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algebraic dimension
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relative codimension 1 cycle-space
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Moishezon spaces
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math.CV
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math.AG
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0.93512625
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0.9015664
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0.88872355
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0.88831085
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0.8848265
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0.88345283
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0.8816974
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0.88070595
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Two semi-continuity results for the algebraic dimension of compact complex manifolds (English)
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Using the relative codimension-1 cycle-space, the author gives another proof of the semicontinuity results obtained by \textit{D. Popovici} [Invent. Math. 194, No. 3, 515--534 (2013; Zbl 1287.32008)] for the algebraic dimension of a family of compact complex manifolds parametrized by a reduced complex space. In this way he obtains a more geometric view on the use of the existence of a strongly Gauduchon form and of the existence of a relative Gauduchon metric on a holomorphic family of compact complex manifolds.
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