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arXiv · 1610.07812

Multi-point Seshadri constants on ruled surfaces

Krishna Hanumanthu·Alapan Mukhopadhyay
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Abstract

Let $X$ be a surface and let $L$ be an ample line bundle on $X$. We first obtain a lower bound for the Seshadri constant $\varepsilon(X,L,r)$, when $r \ge 3$. We then assume that $X$ is a ruled surface and study Seshadri constants on $X$ in greater detail. We also make precise computations of Seshadri constants on $X$ in some cases.

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Krishna Hanumanthu, Alapan Mukhopadhyay. 2016-10-25. Multi-point Seshadri constants on ruled surfaces. https://arxiv.org/abs/1610.07812

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