Seshadri constants on the self - product of an elliptic curve
نویسنده
چکیده
The purpose of this paper is to study Seshadri constants on the self-product E × 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.
منابع مشابه
SESHADRI CONSTANTS ON ABELIAN VARIETIES By MICHAEL NAKAMAYE
We show that on a complex abelian variety of dimension two or greater the Seshadri constant of an ample line bundle is at least one. Moreover, the Seshadri constant is equal to one if and only if the polarized abelian variety splits as a product of a principally polarized elliptic curve and a polarized abelian subvariety of codimension one. We also examine the case when the Seshadri constant is...
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