Rational Curves on K3 Surfaces

Details Rational Curves on K3 Surfaces Rational Curves on K3 Surfaces

1998-04-15

arxiv.org/abs/math/9804075v1

Mathematics

Algebraic Geometry

34 pages, AMSLatex, To Appear on JAG

Scientific paper

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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