Kulikov's theorem on the Chisini conjecture
Izvestiya. Mathematics , Tome 65 (2001) no. 1, pp. 71-74.

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.
@article{IM2_2001_65_1_a3,
     author = {S. Yu. Nemirovski},
     title = {Kulikov's theorem on the {Chisini} conjecture},
     journal = {Izvestiya. Mathematics },
     pages = {71--74},
     publisher = {mathdoc},
     volume = {65},
     number = {1},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2001_65_1_a3/}
}
TY  - JOUR
AU  - S. Yu. Nemirovski
TI  - Kulikov's theorem on the Chisini conjecture
JO  - Izvestiya. Mathematics 
PY  - 2001
SP  - 71
EP  - 74
VL  - 65
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2001_65_1_a3/
LA  - en
ID  - IM2_2001_65_1_a3
ER  - 
%0 Journal Article
%A S. Yu. Nemirovski
%T Kulikov's theorem on the Chisini conjecture
%J Izvestiya. Mathematics 
%D 2001
%P 71-74
%V 65
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2001_65_1_a3/
%G en
%F IM2_2001_65_1_a3
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/

[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