A note on Seshadri constants on general $K3$ surfaces

Details A note on Seshadri constants on general $K3$ surfaces A note on Seshadri constants on general $K3$ surfaces

2007-04-18

arxiv.org/abs/0704.2377v1

Mathematics

Algebraic Geometry

3 pages

Scientific paper

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 $\alpha$.

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