Geodesic
On Chisini's conjecture. II
Izvestiya. Mathematics , Tome 72 (2008) no. 5, pp. 901-913.

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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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     title = {On {Chisini's} conjecture. {II}},
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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/

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