A note on Seshadri constants on general $K3$ surfaces

Abstract

We prove a lower bound on the Seshadri constant $\epsilon (L)$ on a $K3$ surface $S$ with $\Pic S \simeq \ZZ[L]$. In particular, we obtain that $\epsilon (L)=\alpha$ if $L^2={\alpha }^2$ for an integer $\alpha$.

3 pages

References in corpus (1)

• Seshadri constants on algebraic surfaces

Cited by in corpus (1)

• Seshadri constants on the self-product of an elliptic curve