Izvestiya. Mathematics, Tome 72 (2008) no. 5, pp. 901-913
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Vik. S. Kulikov. On Chisini's conjecture. II. Izvestiya. Mathematics, Tome 72 (2008) no. 5, pp. 901-913. http://geodesic.mathdoc.fr/item/IM2_2008_72_5_a1/
@article{IM2_2008_72_5_a1,
author = {Vik. S. Kulikov},
title = {On {Chisini's} conjecture. {II}},
journal = {Izvestiya. Mathematics},
pages = {901--913},
year = {2008},
volume = {72},
number = {5},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2008_72_5_a1/}
}
TY - JOUR
AU - Vik. S. Kulikov
TI - On Chisini's conjecture. II
JO - Izvestiya. Mathematics
PY - 2008
SP - 901
EP - 913
VL - 72
IS - 5
UR - http://geodesic.mathdoc.fr/item/IM2_2008_72_5_a1/
LA - en
ID - IM2_2008_72_5_a1
ER -
%0 Journal Article
%A Vik. S. Kulikov
%T On Chisini's conjecture. II
%J Izvestiya. Mathematics
%D 2008
%P 901-913
%V 72
%N 5
%U http://geodesic.mathdoc.fr/item/IM2_2008_72_5_a1/
%G en
%F IM2_2008_72_5_a1
We prove that if $S\subset\mathbb P^N$ is a smooth projective surface and $f\colon S\to\mathbb P^2$ is a generic linear projection branched over a cuspidal curve $B\subset\mathbb P^2$, then $S$ is uniquely determined (up to isomorphism) by $B$.
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[2] Vik. S. Kulikov, “On Chisini's conjecture”, Izv. Math., 63:6 (1999), 1139–1170 | DOI | MR | Zbl
[3] S. Yu. Nemirovski, “Kulikov's theorem on the Chisini conjecture”, Izv. Math., 65:1 (2001), 71–74 | DOI | MR | Zbl
[4] B. Moishezon, Complex surfaces and connected sums of complex projective planes, Lecture Notes in Math., 603, Springer-Verlag, Berlin–New York, 1977 | DOI | MR | Zbl
[5] Ph. Griffiths, J. Harris, Principles of algebraic geometry, Pure and Applied Mathematics, Wiley, New York, 1978 | MR | Zbl | Zbl
[6] F. Catanese, “On a problem of Chisini”, Duke Math. J., 53:1 (1986), 33–42 | DOI | MR | Zbl
