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arXiv · 0806.4488

Seshadri constants on the self-product of an elliptic curve

Thomas Bauer·Christoph Schulz
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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.

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Thomas Bauer, Christoph Schulz. 2008-06-27. Seshadri constants on the self-product of an elliptic curve. https://arxiv.org/abs/0806.4488

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