Seshadri constants on the self-product of an elliptic curve

Thomas Bauer; Christoph Schulz

Seshadri constants on the self-product of an elliptic curve

Algebraic Geometry 2008-06-30 v1

Authors: Thomas Bauer , Christoph Schulz

Abstract

The purpose of this paper is to study Seshadri constants on the self-product $E\times E$ of an elliptic curve $E$ . We provide explicit formulas for computing the Seshadri constants of all ample line bundles on the surfaces considered. As an application, we obtain a good picture of the behaviour of the Seshadri function on the nef cone.

Keywords

Seshadri constants elliptic curve self-product ample line bundles nef cone Seshadri function algebraic surfaces

Cite

@article{arxiv.0806.4488,
  title  = {Seshadri constants on the self-product of an elliptic curve},
  author = {Thomas Bauer and Christoph Schulz},
  journal= {arXiv preprint arXiv:0806.4488},
  year   = {2008}
}

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