Seshadri constants on the self-product of an elliptic curve

Details Seshadri constants on the self-product of an elliptic curve Seshadri constants on the self-product of an elliptic curve

2008-06-27

arxiv.org/abs/0806.4488v1

Mathematics

Algebraic Geometry

Scientific paper

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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