Stability of complex foliations transverse to fibrations (Q2845733)
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scientific article; zbMATH DE number 6203910
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of complex foliations transverse to fibrations |
scientific article; zbMATH DE number 6203910 |
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Stability of complex foliations transverse to fibrations (English)
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3 September 2013
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foliation
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suspension
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global holonomy
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Seifert fibration
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The authors prove that if a holomorphic foliation \(\mathcal{F}\) which is transverse to a fibration has a compact leaf with finite holonomy group, then it is a Seifert fibration. This happens when the base \(B\) of the fibration satisfies \(H^1(B,\mathbb{R})=0\) and \(H^1(B,GL(k,\mathbb{C}))=0\), where \(k\) is the codimension of \(\mathcal{F}\).
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