On the dynamics of nondegenerate polynomial endomorphisms of \(\mathbb{C}^2\) (Q1305466)
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scientific article; zbMATH DE number 1346379
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the dynamics of nondegenerate polynomial endomorphisms of \(\mathbb{C}^2\) |
scientific article; zbMATH DE number 1346379 |
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On the dynamics of nondegenerate polynomial endomorphisms of \(\mathbb{C}^2\) (English)
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28 August 2000
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The author deals with the following question: It is well-known that in the 1D case, every polynomial map can be holomorphically extended to infinity. However, this is not true in higher dimensions. Therefore the author generalizes the Brolin-Lyubich theorem to nondegenerate polynomial endomorphisms of \(\mathbb{C}^2\).
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complex dynamics
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Brolin-Lyubich theorem
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polynomial endomorphisms
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0.9636893
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0.95733154
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0.9570739
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0.9325632
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0.9309926
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0.9300047
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0.9251305
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0.9191427
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0.91640145
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0.9135966
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