Rigid meromorphic foliations on complex surfaces (Q1962581)
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scientific article; zbMATH DE number 1395891
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rigid meromorphic foliations on complex surfaces |
scientific article; zbMATH DE number 1395891 |
Statements
Rigid meromorphic foliations on complex surfaces (English)
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21 June 2001
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The author first gives a construction of singular meromorphic foliations without algebraic leaves on every smooth projective surface. Then he gives a new proof of a result of \textit{L. G. Mendes} and \textit{M. Sebastiani} [Ann. Inst. Fourier 44, No. 1, 271-276 (1994; Zbl 0792.58001)]: On a smooth projective surface of Kodaira dimension \(-\infty\), except the complex projective plane, there is a rigid singular meromorphic foliation, which is induced by a ruling. Finally, rigidity is also studied for the case of an elliptic fibration.
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meromorphic foliation
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algebraic leaf
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rigidity
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