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math.AG2000

A Simple Proof that Rational Curves on K3 are Nodal

Xi Chen

We give a simple proof of the statement that every rational curve in the primitive class of a general K3 surface is nodal.

math.AG1998

Singularities of Rational Curves on K3 surfaces

Xi Chen

We proved that every rational curves in the primitive class of a general K3 surface of any genus is nodal.

math.AG1998

Rational Curves on K3 Surfaces

Xi Chen

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…