Geodesic
On a characterization of polynomial endomorphisms of $\mathbf C^2$
Izvestiya. Mathematics, Tome 7 (1973) no. 2, pp. 319-328 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper inequalities for some characteristics of polynomial mappings of $\mathbf C^2\to\mathbf C^2$ are obtained. These estimates are used to obtain some results on polynomial endomorphisms of $\mathbf C^2$ with constant nonzero Jacobian. 
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     title = {On a~characterization of polynomial endomorphisms of~$\mathbf C^2$},
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     volume = {7},
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     url = {http://geodesic.mathdoc.fr/item/IM2_1973_7_2_a4/}
}
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B. L. Fridman. On a characterization of polynomial endomorphisms of $\mathbf C^2$. Izvestiya. Mathematics, Tome 7 (1973) no. 2, pp. 319-328. http://geodesic.mathdoc.fr/item/IM2_1973_7_2_a4/

[1] Jung H. W. E., “Über ganze birationale Transformationen der Ebene”, J. Reine und angew. Math., 184:3 (1942), 161–174 | MR | Zbl

[2] Dixmier J., “Sur les algebres de Weyl”, Bull. Soc. Math. France, 96:3 (1968), 209–242 ; Matematika, 13:4 (1969), 16–44 | MR | Zbl | MR

[3] Magnus A., “On polynomial solutions of a differential equation”, Math. Scand., 3:2 (1955), 255–260 | MR | Zbl

[4] Vitushkin A. G., “Nekotorye primery v svyazi s zadachei polinomialnykh preobrazovanii $C^n$”, Izv. AN SSSR. Ser. matem., 35:2 (1971), 269–279 | MR | Zbl