Kulikov's theorem on the Chisini conjecture
Izvestiya. Mathematics, Tome 65 (2001) no. 1, pp. 71-74
Cet article a éte moissonné depuis 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},
year = {2001},
volume = {65},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/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