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On Chisini’s conjecture. II. (English. Russian original) Zbl 1153.14012

Izv. Math. 72, No. 5, 901-913 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 5, 63-76 (2008).
Summary: We prove 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 \( S\) is uniquely determined (up to isomorphism) by \( B\).
[For part I, cf. Izv. Math. 63, No. 6, 1139–1170 (1999); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 63, No. 6, 83–116 (1999; Zbl 0962.14005)].

MSC:

14E22 Ramification problems in algebraic geometry
14N05 Projective techniques in algebraic geometry
14J25 Special surfaces

Citations:

Zbl 0962.14005
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