Geodesic
Kulikov's theorem on the Chisini conjecture
Izvestiya. Mathematics, Tome 65 (2001) no. 1, pp. 71-74 
S. Yu. Nemirovski. Kulikov's theorem on the Chisini conjecture. Izvestiya. Mathematics, Tome 65 (2001) no. 1, pp. 71-74. http://geodesic.mathdoc.fr/item/IM2_2001_65_1_a3/
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     title = {Kulikov's theorem on the {Chisini} conjecture},
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that a generic ramified covering over $\mathbb P^2$ of degree $\geqslant 12$ is uniquely determined by its branch curve.

[1] Kulikov Vik. S., “O gipoteze Kizini”, Izv. RAN. Ser. matem., 63:6 (1999), 83–116 | MR | Zbl

[2] Chisini O., “Sulla identità birazionale delle funzioni algebriche di due variabili dotate di una medesima curva di diramazione”, Rend. Ist. Lombardo, 77 (1944), 339–356 | MR | Zbl

[3] Catanese F., “On a problem of Chisini”, Duke Math. J., 53 (1986), 33–42 | DOI | MR | Zbl

[4] Moishezon B. G., “Stable branch curves and braid monodromies”, Lecture Notes Math., 862 (1981), 107–192 | DOI | MR | Zbl

[5] Barth W., Peters C., Van de Ven A., Compact complex surfaces, Springer-Verlag, Berlin, 1984 | MR | Zbl