On the existence of Levi foliations (Q2722617)

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scientific article; zbMATH DE number 1613236
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On the existence of Levi foliations
scientific article; zbMATH DE number 1613236

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    16 June 2002
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    Levi varieties
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    Levi foliations
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    holomorphic foliations
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    On the existence of Levi foliations (English)
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    The author shows that if \(\mathcal L\) is a 3 dimensional analytic foliation such that the induced complex distribution defines a holomorphic foliation \(\mathcal F\), then \(\mathcal F\) admits a function which can be constructed by composition of rational functions, exponentiation, integration and algebraic functions, thus solving a problem proposed by D. Cerveau.
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