Seshadri constants on the self-product of an elliptic curve

Thomas Bauer, Christoph Schulz

Published 2008-06-27Version 1

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.