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arxiv: 1208.4957 · v1 · pith:63BHTTPXnew · submitted 2012-08-24 · 🧮 math.AG

Brill-Noether general curves on Knutsen K3 surfaces

classification 🧮 math.AG
keywords generalsurfacesbrill-noethercurveshyperplaneknutsensectionswhose
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This article classifies Knutsen K3 surfaces all of whose hyperplane sections are irreducible and reduced. As an application, this gives infinite families of K3 surfaces of Picard number two whose general hyperplane sections are Brill-Noether general curves.

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