The cone of curves of K3 surfaces revisted
arXiv:1309.5562
Abstract
The main theorem of "S. J. Kovács: The cone of curves of a K3 surface, Math. Ann. 300 (1994), no. 4, 681-691" is proved in arbitrary characteristic. The proof is essentially the same as in the original paper where it was stated only over the complex numbers.
To appear in the book Birational Geometry, Rational Curves, and Arithmetic