Seshadri constants on hyperelliptic surfaces

Krishna Hanumanthu; Praveen Kumar Roy

Seshadri constants on hyperelliptic surfaces

Algebraic Geometry 2018-02-05 v2

Authors: Krishna Hanumanthu , Praveen Kumar Roy

Abstract

We prove new results on single point Seshadri constants for ample line bundles on hyperelliptic surfaces. Given a hyperelliptic surface $X$ and an ample line bundle $L$ on $X$ , we show that the least Seshadri constant $\varepsilon(L)$ of $L$ is a rational number when $X$ is not of type 6. We also prove new lower bounds for the Seshadri constant $\varepsilon(L,1)$ of $L$ at a very general point.

Cite

@article{arxiv.1709.06788,
  title  = {Seshadri constants on hyperelliptic surfaces},
  author = {Krishna Hanumanthu and Praveen Kumar Roy},
  journal= {arXiv preprint arXiv:1709.06788},
  year   = {2018}
}

Comments

14 pages; a few minor changes since the first version; to appear in Proc. Amer. Math. Soc

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