First variation of holomorphic forms and some applications (Q1365118)
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scientific article; zbMATH DE number 1054030
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | First variation of holomorphic forms and some applications |
scientific article; zbMATH DE number 1054030 |
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First variation of holomorphic forms and some applications (English)
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5 October 1998
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Consider a singular holomorphic foliation on a complex surface. Suppose \(C\) is a (possibly singular) invariant curve. One considers various local invariants, like the index and the variation of this foliation. Several formulas relating the total sum of these invariants to global invariants are (re)proved. For example, the total sum of the indices is equal to the self-intersection number of the curve \(C\). Relations with holonomy are discussed.
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holomorphic foliation
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local invariants
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index
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variation
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global invariants
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holonomy
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0.88118345
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0.8762993
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0.87150747
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0.86894405
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0.86735123
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0.8665489
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