Classification of degree 2 polynomial automorphisms of \(\mathbb{C}^3\) (Q1277131)
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scientific article; zbMATH DE number 1247850
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of degree 2 polynomial automorphisms of \(\mathbb{C}^3\) |
scientific article; zbMATH DE number 1247850 |
Statements
Classification of degree 2 polynomial automorphisms of \(\mathbb{C}^3\) (English)
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19 October 1999
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A classification (up to affine conjugation) of all polynomial mappings \(f:\mathbb C^3\to\mathbb C^3\) of degree at most 2 with nowhere vanishing Jacobian determinant is given. From this classification it follows that the Jacobian conjecture in the above described case of polynomial mappings is true.
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polynomial automorphism
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Jacobian conjecture
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0.9215663
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0.9079046
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0.90353537
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0.8980146
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0.8958388
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0.8949714
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