A note on Seshadri constants on general $K3$ surfaces

Andreas Leopold Knutsen

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arXiv · 0704.2377

A note on Seshadri constants on general $K3$ surfaces

Andreas Leopold Knutsen

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Abstract

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

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BibTeX RIS

Andreas Leopold Knutsen. 2007-04-18. A note on Seshadri constants on general $K3$ surfaces. https://arxiv.org/abs/0704.2377

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