Miyaoka's bound for conics on K3 surfaces and beyond
arXiv:2504.00778
Abstract
We show that Miyaoka's bound for the number of conics on a degree-2h K3 surface is attained for high h, and analogously for higher even degree (smooth) rational curves.
Dedicated to Tetsuji Shioda on the occasion of his 85th birthday. 12 pages