Abstract
We give the classification of the transcendental automorphisms of \({\mathbb{C}^{2}}\) of the form \({(x,y)\to(P e^{Q},R e^{S})}\) with P,Q,R, \({S\in \mathbb{C}[x,y]}\).
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Supported by Spanish MICINN Project MTM2015-63612-P.
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Bustinduy, A. Analytic automorphisms of \({\mathbb{C}^2}\) generated by polynomial vector fields. Arch. Math. 107, 251–258 (2016). https://doi.org/10.1007/s00013-016-0948-5
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DOI: https://doi.org/10.1007/s00013-016-0948-5