Tangential index of foliations with curves on surfaces (Q1772563)
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scientific article; zbMATH DE number 2158036
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tangential index of foliations with curves on surfaces |
scientific article; zbMATH DE number 2158036 |
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Tangential index of foliations with curves on surfaces (English)
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18 April 2005
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\textit{M. Brunella} [Ann. Sci. Éc. Norm. Supér., IV. Sér. 30, 569--594 (1997; Zbl 0893.32019)] defined an index which represents how a curve and a foliation on a complex surface intersect and proved an index formula. Here, the author gives an alternative proof of this index theorem by the method of localization of the Chern class of a suitable virtual bundle. He also computes this index in several examples when the curve \(C\) is not invariant by the foliation.
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holomorphic foliation
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singular holomorphic foliation
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holomorphic foliations on surfaces
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index of a holomorphic foliations
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0.9028424
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0.8965533
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0.89382565
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0.89199936
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