On Chisini's Conjecture. II

2006/10/11 by Вик. С. Куликов, Vik. S. Kulikov, Kulikov, Vik. S.
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.math/0610356

14 pages

arxiv created 2006/10/11 · openalex publication_date 2006/10/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is proved that if S⊂ \mathbb P^N is a smooth projective surface and f:S→ \mathbb P² is a generic linear projection branched over a cuspidal curve B⊂ \mathbb P², then the surface S is determined uniquely up to an isomorphism of S by the curve B.

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• On smooth surfaces in P4 containing a plane curve
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