On Chisini's Conjecture. II

Abstract

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 $B$.

14 pages

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• Fundamental Groups of Galois Closures of Generic Projections