On the construction of holomorphic foliations without invariant subvarieties of positive dimension (Q332679)
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scientific article; zbMATH DE number 6649518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the construction of holomorphic foliations without invariant subvarieties of positive dimension |
scientific article; zbMATH DE number 6649518 |
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On the construction of holomorphic foliations without invariant subvarieties of positive dimension (English)
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9 November 2016
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The author provides an explicit construction of one-dimensional holomorphic foliations of \(\mathbb{P}^n\) without proper invariant subvarieties of positive dimension, relying only on the choice of a finite set of complex numbers transcendental over \(\mathbb{Q}\). This result generalises previous constructions by \textit{V. Lunts} [Duke Math. J. 58, No. 3, 531--554 (1989; Zbl 0696.14009)] and by \textit{A. Lins Neto} and \textit{M. G. Soares} [J. Differ. Geom. 43, No. 3, 652--673 (1996; Zbl 0873.32031)].
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holomorphic foliation
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invariant subvariety
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