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arxiv: math/0610356 · v1 · submitted 2006-10-11 · 🧮 math.AG

On Chisini's Conjecture. II

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keywords mathbbcurvesubsetsurfacebranchedchisiniconjecturecuspidal
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It is proved that if $S\subset \mathbb P^N$ is a smooth projective surface and $f:S\to \mathbb P^2$ is a generic linear projection branched over a cuspidal curve $B\subset \mathbb P^2$, then the surface $S$ is determined uniquely up to an isomorphism of $S$ by the curve $B$.

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