On quadratic polynomial mappings $f: \Bbb C^2 \to \Bbb C^2$

preprint2016arXivOpen access

We show that up to linear equivalence, there is only finitely many polynomial quadratic mappings $f:\Bbb C^2\to\Bbb C^2$ and $f:\Bbb R^2\to \Bbb R^2.$ We list all possibilities.

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On quadratic polynomial mappings $f: \Bbb C^2 \to \Bbb C^2$

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On quadratic polynomial mappings f:C2→C2f: \Bbb C^2 \to \Bbb C^2f:C2→C2

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On quadratic polynomial mappings $f: \Bbb C^2 \to \Bbb C^2$