Geodesic
On three-sheeted polynomial mappings of $\mathbf C^2$
Izvestiya. Mathematics, Tome 29 (1987) no. 3, pp. 587-596 
S. Yu. Orevkov. On three-sheeted polynomial mappings of $\mathbf C^2$. Izvestiya. Mathematics, Tome 29 (1987) no. 3, pp. 587-596. http://geodesic.mathdoc.fr/item/IM2_1987_29_3_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the Jacobian of a $3$-sheeted polynomial mapping $\mathbf C^2\to\mathbf C^2$ cannot be a constant. Bibliography: 8 titles.

[1] Vitushkin A. G., “On polinomial transformation of $\mathbf C^n$”, Manifolds—Tokyo 1973 (Proc. Internat. Conf., Tokyo, 1973), Univ. Tokyo Press, Tokyo, 1975, 415–417 | MR

[2] Bass H., Connell E. H., Wright D., “The Jacobian conjecture: reduction of degree and formal expansion of the inverse”, Bull. Amer. Math. Soc., 7:2 (1982), 287–330 | DOI | MR | Zbl

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

[4] Lojasiewicz S., “Triangulation of semi-analytic sets”, Ann. Scuola Norm. Sup. Pisa (3), 18:4 (1964), 449–474 | MR | Zbl

[5] Mamford D., “Topologiya normalnykh osobennostei algebraicheskoi poverkhnosti i kriterii prostoty”, Matematika, 10:6 (1966), 3–24 | MR

[6] Milnor Dzh., Osobye tochki kompleksnykh giperpoverkhnostei, Mir, M., 1971 | MR | Zbl

[7] Zariski O., “On the topology of algebroid singularities”, Amer. J. Math., 54 (1932), 453–465 | DOI | MR | Zbl

[8] Abhyankar S. S., Moh T. T., “Embedding on the line in the plane”, J. reine angew. Math., 276 (1975), 148–166 | MR | Zbl