The good quotient of the semi-stable foliations of \(\mathbb {CP}^{2}\) of degree \(1\) (Q1024707)
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scientific article; zbMATH DE number 5565945
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The good quotient of the semi-stable foliations of \(\mathbb {CP}^{2}\) of degree \(1\) |
scientific article; zbMATH DE number 5565945 |
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The good quotient of the semi-stable foliations of \(\mathbb {CP}^{2}\) of degree \(1\) (English)
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17 June 2009
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The author studies the group \(PGL(3, \mathbb {C})\) of automorphisms of \(\mathbb {CP}^{2}\) which acts linearly on the space of foliations of \(\mathbb {CP}^{2}\). The author obtains the unstable foliations using the numerical method of 1-parameter subgroups and proves that the good quotient of the semi-stable points for this action is \(\mathbb {CP}^{1}\).
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linear holomorphic foliation
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good quotient
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