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arXiv · 1208.4957

Brill-Noether general curves on Knutsen K3 surfaces

Maxim Arap·Nicholas Marshburn
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Abstract

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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Maxim Arap, Nicholas Marshburn. 2012-08-24. Brill-Noether general curves on Knutsen K3 surfaces. https://arxiv.org/abs/1208.4957

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