Multi-point Seshadri constants on ruled surfaces

Krishna Hanumanthu; Alapan Mukhopadhyay

Multi-point Seshadri constants on ruled surfaces

Algebraic Geometry 2017-01-25 v2

Authors: Krishna Hanumanthu , Alapan Mukhopadhyay

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.

Keywords

upper bounds

Cite

@article{arxiv.1610.07812,
  title  = {Multi-point Seshadri constants on ruled surfaces},
  author = {Krishna Hanumanthu and Alapan Mukhopadhyay},
  journal= {arXiv preprint arXiv:1610.07812},
  year   = {2017}
}

Comments

12 pages; slightly improved Theorem 2.1, new references, minor corrections and changes to exposition; to appear in Proc. Amer. Math. Soc

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