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Rational Curves on K3 Surfaces

Xi Chen
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Abstract

We proved the existence of rational curves in every linear system on a general K3 surface and that all rational curves in the hyperplane class are nodal on a general K3 surface of small genus.

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Xi Chen. 1998-04-15. Rational Curves on K3 Surfaces. https://arxiv.org/abs/math/9804075

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